Anexo:Constantes matemáticas

El contenido del presente anexo es un listado de constantes matemáticas.

Constantes y funciones matemáticas

La estructura de la tabla es la siguiente:

• Valor numérico de la constante y enlace a MathWorld o a OEIS Wiki.
• LaTeX: Fórmula o serie en el formato TeX.
• Fórmula: Para utilizar en Wolfram Alpha. Si en los cálculos, ∞ demora mucho tiempo, puede cambiarse por 20000, para obtener un resultado aproximado.
• OEIS: On-Line Encyclopedia of Integer Sequences.
• Fracción continua: En el formato simple [Parte entera; frac1, frac2, frac3, ...] , suprarrayada si es periódica.
• Año: Del descubrimiento de la constante, o datos del autor.
• Formato web: Valor de la constante, en formato adecuado para los buscadores web.
• N.º: Tipo de Número
  • R - Racional
  • I - Irracional
  • A - Algebraico
  • T - Trascendental
  • C - Complejo

(La tabla se puede ordenar ascendente o descendente, por cualquiera de los campos, sin más que pulsar en los títulos del encabezado).

Constantes y funciones matemáticas

Valor	Nombre	Gráfico	Símbolo	LaTeX	Fórmula	N.º	OEIS	Fracción continua	Año	Formato web
0,08607 13320 55934 20688^[Ow 1]​	Constante Erdős– Tenenbaum–Ford		${\displaystyle \delta }$	${\displaystyle 1-{\frac {1+\log \log 2}{\log 2}}}$	1-(1+log(log(2)))/log(2)		A074738	[0;11,1,1,1,1,1,1,1,2,3,2,1,4,1,1,10,1,1,8,2,...]		0.08607133205593420688757309877692267
1,46557 12318 76768 02665	Proporción súper áurea ^[1]​		${\displaystyle \psi }$	${\displaystyle {\frac {1+{\sqrt[{3}]{\frac {29+3{\sqrt {93}}}{2}}}+{\sqrt[{3}]{\frac {29-3{\sqrt {93}}}{2}}}}{3}}}$	real root of x^3-x^2-1.	${\displaystyle \mathbb {A} }$	A092526	[1;4,6,5,5,7,1,2,3,1,8,7,6,7,6,8,0,2,6,6,5,6,...]		1.46557123187676802665673122521993910
0,88622 69254 52758 01364^[Mw 1]​	Factorial de un medio^[2]​		${\displaystyle {.5}\,!}$	${\displaystyle \Gamma \left({\tfrac {3}{2}}\right)\,={\tfrac {1}{2}}{\sqrt {\pi }}\,=\int _{0}^{\infty }x^{1/2}e^{-x}dx}$	sqrt(Pi)/2		A019704	[0;1,7,1,3,1,2,1,57,6,1,3,1,37,3,41,1,10,2, ...]		0.88622692545275801364908374167057259
0,74048 04896 93061 04116^[Mw 2]​	Constante de Hermite Empaquetamiento óptimo de esferas 3D Conjetura de Kepler^[3]​		${\displaystyle {\mu _{_{K}}}}$	${\displaystyle {\frac {\pi }{3{\sqrt {2}}}}{\color {white}....\color {black}}}$  Después de 400 años, Thomas Hales demostró en 2014 con El Proyecto Flyspeck, que la Conjetura de Kepler era cierta.^[4]​	pi/(3 sqrt(2))		A093825	[0;1,2,1,5,1,4,2,2,1,1,2,2,2,6,1,1,1,5,2,1,1,1, ...]	1611	0.74048048969306104116931349834344894
1,60669 51524 15291 76378^[Mw 3]​	Constante de Erdős–Borwein^[5]​^[6]​		${\displaystyle {E}_{\,B}}$	${\displaystyle \sum _{m=1}^{\infty }\sum _{n=1}^{\infty }{\frac {1}{2^{mn}}}=\sum _{n=1}^{\infty }{\frac {1}{2^{n}-1}}={\frac {1}{1}}\!+\!{\frac {1}{3}}\!+\!{\frac {1}{7}}\!+\!{\frac {1}{15}}\!+\!...}$	sum[n=1 to ∞] {1/(2^n-1)}	I	A065442	[1;1,1,1,1,5,2,1,2,29,4,1,2,2,2,2,6,1,7,1,6,1,2,...]	1949	1.60669515241529176378330152319092458
0,07077 60393 11528 80353 -0,68400 03894 37932 129 i ^[Ow 2]​	Constante MKB ^[7]​·^[8]​·^[9]​		${\displaystyle M_{I}}$	${\displaystyle \lim _{n\rightarrow \infty }\int _{1}^{2n}(-1)^{x}~{\sqrt[{x}]{x}}~dx=\int _{1}^{2n}e^{i\pi x}~x^{1/x}~dx}$	lim_(2n->∞) int[1 to 2n] {exp(i*Pi*x)*x^(1/x) dx}	C	A255727 A255728	[0;14,7,1,2,1,23,2,1,8,16,1,1,3,1,26,1,6,1,1, ...] - [0;1,2,6,13,41,112,1,25,1,1,1,1,3,13,2,1, ...] i	2009	0.07077603931152880353952802183028200 -0.68400038943793212918274445999266 i
3,05940 74053 42576 14453^[Mw 4]​^[Ow 3]​	Constante Doble factorial		${\displaystyle {C_{_{n!!}}}}$	${\displaystyle \sum _{n=0}^{\infty }{\frac {1}{n!!}}={\sqrt {e}}\left[{\frac {1}{\sqrt {2}}}+\gamma ({\tfrac {1}{2}},{\tfrac {1}{2}})\right]}$	Sum[n=0 to ∞]{1/n!!}		A143280	[3;16,1,4,1,66,10,1,1,1,1,2,5,1,2,1,1,1,1,1,2,...]		3.05940740534257614453947549923327861
0,62481 05338 43826 58687 + 1,30024 25902 20120 419 i	Fracción continua generalizada de i		${\displaystyle {{F}_{CG}}_{(i)}}$	${\displaystyle \textstyle i{+}{\frac {i}{i+{\frac {i}{i+{\frac {i}{i+{\frac {i}{i+{\frac {i}{i+{\frac {i}{i+i{/...}}}}}}}}}}}}}={\sqrt {\frac {{\sqrt {17}}-1}{8}}}+i\left({\tfrac {1}{2}}{+}{\sqrt {\frac {2}{{\sqrt {17}}-1}}}\right)}$	i+i/(i+i/(i+i/(i+i/(i+i/(i+i/(i+i/( i+i/(i+i/(i+i/(i+i/(i+i/(i+i/(i+i/( i+i/(i+i/(i+i/(i+i/(i+i/(i+i/(i+i/( ...)))))))))))))))))))))	C A	A156590 A156548	[i;1,i,1,i,1,i,1,i,1,i,1,i,1,i,1,i,1,i,1,i,1,i,1, ..] = [0;1,i]		0.62481053384382658687960444744285144 + 1.30024259022012041915890982074952 i
0,91893 85332 04672 74178^[Mw 5]​	Fórmula de Raabe^[10]​		${\displaystyle {\zeta '(0)}}$	${\displaystyle \int \limits _{a}^{a+1}\log \Gamma (t)\,\mathrm {d} t={\tfrac {1}{2}}\log 2\pi +a\log a-a,\quad a\geq 0}$	integral_a^(a+1) {log(Gamma(x))+a-a log(a)} dx		A075700	[0;1,11,2,1,36,1,1,3,3,5,3,1,18,2,1,1,2,2,1,1,...]		0.91893853320467274178032973640561763
0,42215 77331 15826 62702^[Mw 6]​	Volumen del Tetraedro de Reuleaux^[11]​		${\displaystyle {V_{_{R}}}}$	${\displaystyle {\frac {s^{3}}{12}}(3{\sqrt {2}}-49\,\pi +162\,\arctan {\sqrt {2}})}$	(3*Sqrt[2] - 49*Pi + 162*ArcTan[Sqrt[2]])/12		A102888	[0;2,2,1,2,2,7,4,4,287,1,6,1,2,1,8,5,1,1,1,1, ...]		0.42215773311582662702336591662385075
1,17628 08182 59917 50654^[Mw 7]​	Constante de Salem, conjetura de Lehmer^[12]​		${\displaystyle {\sigma _{_{10}}}}$	${\displaystyle x^{10}+x^{9}-x^{7}-x^{6}-x^{5}-x^{4}-x^{3}+x+1}$	x^10+x^9-x^7-x^6-x^5-x^4-x^3+x+1	A	A073011	[1;5,1,2,17,1,7,2,1,1,2,4,7,2,2,1,1,15,1,1, ...	1983?	1.17628081825991750654407033847403505
2,39996 32297 28653 32223^[Mw 8]​ Radianes	Ángulo áureo^[13]​		${\displaystyle {b}}$	${\displaystyle (4-2\,\Phi )\,\pi =(3-{\sqrt {5}})\,\pi }$  = 137.507764050037854646 ...°	(4-2*Phi)*Pi	T	A131988	[2;2,1,1,1087,4,4,120,2,1,1,2,1,1,7,7,2,11,...]	1907	2.39996322972865332223155550663361385
1,26408 47353 05301 11307^[Mw 9]​	Constante de Vardi^[14]​		${\displaystyle {V_{c}}}$	${\displaystyle {\frac {\sqrt {3}}{\sqrt {2}}}\prod _{n\geq 1}\left(1+{1 \over (2e_{n}-1)^{2}}\right)^{\!1/2^{n+1}}}$			A076393	[1;3,1,3,1,2,5,54,7,1,2,1,2,3,15,1,2,1,1,2,1,...]	1991	1.26408473530530111307959958416466949
1,5065918849 ± 0,0000000028^[Mw 10]​	Área del fractal de Mandelbrot^[15]​		${\displaystyle \gamma }$	Se conjetura que el valor exacto es: ${\displaystyle {\sqrt {6\pi -1}}-e}$  = 1,506591651...			A098403	[1;1,1,37,2,2,1,10,1,1,2,2,4,1,1,1,1,5,4,...]	1912	1.50659177 +/- 0.00000008
1,61111 49258 08376 736 111•••111 27224 36828^[Mw 11]​ ^183213 unos	Constante Factorial exponencial		${\displaystyle {S_{Ef}}}$	${\displaystyle \sum _{n=1}^{\infty }{\frac {1}{n^{(n{-}1)^{\cdot ^{\cdot ^{\cdot ^{2^{1}}}}}}}}=1{+}{\frac {1}{2^{1}}}{+}{\frac {1}{3^{2^{1}}}}+{\frac {1}{4^{3^{2^{1}}}}}+{\frac {1}{5^{4^{3^{2^{1}}}}}}{+}\cdots }$		T	A080219	[1; 1, 1, 1, 1, 2, 1, 808, 2, 1, 2, 1, 14,...]		1.61111492580837673611111111111111111
0,31813 15052 04764 13531 ±1,33723 57014 30689 40 i ^[Ow 4]​	Punto fijo Super-logaritmo^[16]​·^[17]​		${\displaystyle {-W(-1)}}$	${\displaystyle \lim _{n\rightarrow \infty }}$ ${\displaystyle f(x)=\underbrace {\log(\log(\log(\log(\cdots \log(\log(x))))))\,\!} \atop {\log _{s}{\text{ anidados n veces}}}}$  Para un valor inicial de x distinto a 0, 1, e, e^e, e^(e^e), etc.	-W(-1) Donde W=ProductLog Lambert W function	C	A059526 A059527	[-i;1 +2i,1+i,6-i,1+2i,-7+3i,2i,2,1-2i,-1+i,-, ...]		0.31813150520476413531265425158766451 -1.33723570143068940890116214319371 i
1,09317 04591 95490 89396^[Mw 12]​	Constante de Smarandache 1.ª ^[18]​		${\displaystyle {S_{1}}}$	${\displaystyle \sum _{n=2}^{\infty }{\frac {1}{\mu (n)!}}{\color {white}....\color {black}}}$  La función Kempner μ(n) se define como sigue: μ(n) es el número más pequeño por el que μ(n)! es divisible por n			A048799	[1;10,1,2,1,2,1,13,3,1,6,1,2,11,4,6,2,15,1,1,...]		1.09317045919549089396820137014520832
1,64218 84352 22121 13687^[Mw 13]​	Constante de Lebesgue L2^[19]​		${\displaystyle {L2}}$	${\displaystyle {\frac {1}{5}}+{\frac {\sqrt {25-2{\sqrt {5}}}}{\pi }}={\frac {1}{\pi }}\int _{0}^{\pi }{\frac {\left|\operatorname {sen}({\frac {5t}{2}})\right|}{\operatorname {sen}({\frac {t}{2}})}}\,dt}$	1/5 + sqrt(25 - 2*sqrt(5))/Pi	T	A226655	[1;1,1,1,3,1,6,1,5,2,2,3,1,2,7,1,3,5,2,2,1,1,...]	1910	1.64218843522212113687362798892294034
0,82699 33431 32688 07426^[Mw 14]​	Disk Covering^[20]​		${\displaystyle {C_{5}}}$	${\displaystyle {\frac {1}{\sum _{n=0}^{\infty }{\frac {1}{\binom {3n+2}{2}}}}}={\frac {3{\sqrt {3}}}{2\pi }}}$	3 Sqrt[3]/(2 Pi)	T	A086089	[0;1,4,1,3,1,1,4,1,2,2,1,1,7,1,4,4,2,1,1,1,1,...]	1939 1949	0.82699334313268807426698974746945416
1,78723 16501 82965 93301^[Mw 15]​	Constante de Komornik–Loreti^[21]​		${\displaystyle {q}}$	${\displaystyle 1=\!\sum _{n=1}^{\infty }{\frac {t_{k}}{q^{k}}}\qquad \scriptstyle {\text{Raiz real de}}\displaystyle \prod _{n=0}^{\infty }\!\left(\!1{-}{\frac {1}{q^{2^{n}}}}\!\right)\!{+}{\frac {q{-}2}{q{-}1}}=0}$  t k = Sucesión de Thue-Morse	FindRoot[(prod[n=0 to ∞] {1-1/(x^2^n)}+ (x-2)/(x-1))= 0, {x, 1.7}, WorkingPrecision->30]	T	A055060	[1;1,3,1,2,3,188,1,12,1,1,22,33,1,10,1,1,7,...]	1998	1.78723165018296593301327489033700839
0,59017 02995 08048 11302^[Mw 16]​	Constante de Chebyshev^[22]​ ·^[23]​		${\displaystyle {\lambda _{Ch}}}$	${\displaystyle {\frac {\Gamma ({\tfrac {1}{4}})^{2}}{4\pi ^{3/2}}}={\frac {4({\tfrac {1}{4}}!)^{2}}{\pi ^{3/2}}}}$	(Gamma(1/4)^2) /(4 pi^(3/2))		A249205	[0;1,1,2,3,1,2,41,1,6,5,124,5,2,2,1,1,6,1,2,...]		0.59017029950804811302266897027924429
0,52382 25713 89864 40645^[Mw 17]​	Función Chi Coseno hiperbólico integral		${\displaystyle {\operatorname {Chi()} }}$	${\displaystyle \gamma +\int _{0}^{x}{\frac {\cosh t-1}{t}}\,dt}$  ${\displaystyle \scriptstyle \gamma \,{\text{= Constante de Euler–Mascheroni = 0,5772156649...}}}$	Chi(x)		A133746	[0;1,1,9,1,172,1,7,1,11,1,1,2,1,8,1,1,1,1,1,...]		0.52382257138986440645095829438325566
0,62432 99885 43550 87099^[Mw 18]​	Constante de Golomb–Dickman^[24]​		${\displaystyle {\lambda }}$	${\displaystyle \int \limits _{0}^{\infty }{\underset {Para\;x>2}{{\frac {f(x)}{x^{2}}}dx}}=\int \limits _{0}^{1}e^{Li(n)}dn\quad \scriptstyle {\text{Li = Integral logarítmica}}}$	N[Int{n,0,1}[e^Li(n)],34]		A084945	[0;1,1,1,1,1,22,1,2,3,1,1,11,1,1,2,22,2,6,1,...]	1930 y 1964	0.62432998854355087099293638310083724
0,98770 03907 36053 46013^[Mw 19]​	Área delimitada por la rotación excéntrica del Triángulo de Reuleaux^[25]​		${\displaystyle {\mathcal {T}}_{R}}$	${\displaystyle a^{2}\cdot \left(2{\sqrt {3}}+{\frac {\pi }{6}}-3\right)}$      donde a= lado del cuadrado	2 sqrt(3)+pi/6-3	T	A066666	[0;1,80,3,3,2,1,1,1,4,2,2,1,1,1,8,1,2,10,1,2,...]	1914	0.98770039073605346013199991355832854
0,70444 22009 99165 59273	Constante Carefree2 ^[26]​		${\displaystyle {\mathcal {C}}_{2}}$	${\displaystyle {\underset {p_{n}:\,{primo}}{\prod _{n=1}^{\infty }\left(1-{\frac {1}{p_{n}(p_{n}+1)}}\right)}}}$	N[prod[n=1 to ∞] {1 - 1/(prime(n)* (prime(n)+1))}]		A065463	[0;1,2,2,1,1,1,1,4,2,1,1,3,703,2,1,1,1,3,5,1,...]		0.70444220099916559273660335032663721
1,84775 90650 22573 51225^[Mw 20]​	Constante camino auto-evitante en red hexagonal^[27]​ ·^[28]​		${\displaystyle {\mu }}$	${\displaystyle {\sqrt {2+{\sqrt {2}}}}\;=\lim _{n\rightarrow \infty }c_{n}^{1/n}}$  La menor raíz real de ${\displaystyle :\;x^{4}-4x^{2}+2=0}$	sqrt(2+sqrt(2))	A	A179260	[1;1,5,1,1,3,6,1,3,3,10,10,1,1,1,5,2,3,1,1,3,...]		1.84775906502257351225636637879357657
0,19452 80494 65325 11361^[Mw 21]​	2.ª Constante Du Bois Reymond^[29]​		${\displaystyle {C_{2}}}$	${\displaystyle {\frac {e^{2}-7}{2}}=\int _{0}^{\infty }\left|{{\frac {d}{dt}}\left({\frac {\sin t}{t}}\right)^{n}}\right|\,dt-1}$	(e^2-7)/2	T	A062546	[0;5,7,9,11,13,15,17,19,21,23,25,27,29,31,...] = [0;2p+3], p∈ℕ		0.19452804946532511361521373028750390
2,59807 62113 53315 94029^[Mw 22]​	Área de un hexágono de lado unitario^[30]​		${\displaystyle {\mathcal {A}}_{6}}$	${\displaystyle {\frac {3{\sqrt {3}}}{2}}\,l^{2}}$	3 sqrt(3)/2	A	A104956	[2;1,1,2,20,2,1,1,4,1,1,2,20,2,1,1,4,1,1,2,20,...] [2;1,1,2,20,2,1,1,4]		2.59807621135331594029116951225880855
1,78657 64593 65922 46345^[Mw 23]​	Constante de Silverman^[31]​		${\displaystyle {{\mathcal {S}}_{_{m}}}}$	${\displaystyle \sum _{n=1}^{\infty }{\frac {1}{\phi (n)\sigma _{1}(n)}}={\underset {p_{n}:\,{primo}}{\prod _{n=1}^{\infty }\left(1+\sum _{k=1}^{\infty }{\frac {1}{p_{n}^{2k}-p_{n}^{k-1}}}\right)}}}$  ø() = Función totien de Euler, σ1() = Función divisor.	Sum[n=1 to ∞] {1/[EulerPhi(n) DivisorSigma(1,n)]}		A093827	[1;1,3,1,2,5,1,65,11,2,1,2,13,1,4,1,1,1,2,5,4,...]		1.78657645936592246345859047554131575
1,46099 84862 06318 35815^[Mw 24]​	Constante cuatro-colores de Baxter^[32]​	Mapamundi   Coloreado 4C	${\displaystyle {\mathcal {C}}^{2}}$	${\displaystyle \prod _{n=1}^{\infty }{\frac {(3n-1)^{2}}{(3n-2)(3n)}}={\frac {3}{4\pi ^{2}}}\,\Gamma \left({\frac {1}{3}}\right)^{3}}$  Γ() = Función Gamma	3×Gamma(1/3) ^3/(4 pi^2)		A224273	[1;2,5,1,10,8,1,12,3,1,5,3,5,8,2,1,23,1,2,161,...]	1970	1.46099848620631835815887311784605969
0,66131 70494 69622 33528^[Mw 25]​	Constante de Feller-Tornier^[33]​		${\displaystyle {{\mathcal {C}}_{_{FT}}}}$	${\displaystyle {\underset {p_{n}:\,{primo}}{{\frac {1}{2}}\prod _{n=1}^{\infty }\left(1-{\frac {2}{p_{n}^{2}}}\right){+}{\frac {1}{2}}}}={\frac {3}{\pi ^{2}}}\prod _{n=1}^{\infty }\left(1-{\frac {1}{p_{n}^{2}-1}}\right){+}{\frac {1}{2}}}$	[prod[n=1 to ∞] {1-2/prime(n)^2}] /2 + 1/2	T ?	A065493	[0;1,1,1,20,9,1,2,5,1,2,3,2,3,38,8,1,16,2,2,...]	1932	0.66131704946962233528976584627411853
1,92756 19754 82925 30426^[Mw 26]​	Constante Tetranacci		${\displaystyle {\mathcal {T}}}$	La mayor raíz real de ${\displaystyle :\;\;x^{4}-x^{3}-x^{2}-x-1=0}$	Root[x+x^-4-2=0]	A	A086088	[1;1,12,1,4,7,1,21,1,2,1,4,6,1,10,1,2,2,1,7,1,...]		1.92756197548292530426190586173662216
1,00743 47568 84279 37609^[Mw 27]​	Constante DeVicci's Teseracto		${\displaystyle {f_{(3,4)}}}$	Arista del mayor cubo, dentro de un hipercubo unitario 4D. La menor raíz real de ${\displaystyle :\;\;4x^{4}{-}28x^{3}{-}7x^{2}{+}16x{+}16=0}$	Root[4*x^8-28*x^6 -7*x^4+16*x^2+16 =0]	A	A243309	[1;134,1,1,73,3,1,5,2,1,6,3,11,4,1,5,5,1,1,48,...]		1.00743475688427937609825359523109914
0,15915 49430 91895 33576^[Mw 28]​	Constante A de Plouffe^[34]​		${\displaystyle {A}}$	${\displaystyle {\frac {1}{2\pi }}}$	1/(2 pi)	T	A086201	[0;6,3,1,1,7,2,146,3,6,1,1,2,7,5,5,1,4,1,2,42,...]		0.15915494309189533576888376337251436
0,41245 40336 40107 59778^[Mw 29]​	Constante de Thue-Morse^[35]​		${\displaystyle \tau }$	${\displaystyle \sum _{n=0}^{\infty }{\frac {t_{n}}{2^{n+1}}}}$     donde ${\displaystyle {t_{n}}}$  es la secuencia Thue–Morse  y donde ${\displaystyle \tau (x)=\sum _{n=0}^{\infty }(-1)^{t_{n}}\,x^{n}=\prod _{n=0}^{\infty }(1-x^{2^{n}})}$		T	A014571	[0;2,2,2,1,4,3,5,2,1,4,2,1,5,44,1,4,1,2,4,1,1,...]		0.41245403364010759778336136825845528
0,58057 75582 04892 40229^[Mw 30]​	Constante de Pell^[36]​		${\displaystyle {{\mathcal {P}}_{_{Pell}}}}$	${\displaystyle 1-\prod _{n=0}^{\infty }\left(1-{\frac {1}{2^{2n+1}}}\right)}$	N[1-prod[n=0 to ∞] {1-1/(2^(2n+1)}]	T ?	A141848	[0;1,1,2,1,1,1,1,14,1,3,1,1,6,9,18,7,1,27,1,1,...]		0.58057755820489240229004389229702574
2,20741 60991 62477 96230^[Mw 31]​	Problema moviendo el sofá de Hammersley^[37]​		${\displaystyle {S_{_{H}}}}$	${\displaystyle {\frac {\pi }{2}}+{\frac {2}{\pi }}\,}$  ¿Cuál es el área más grande de una forma, que pueda ser maniobrada en un pasillo en forma de L y tenga de ancho la unidad ?	pi/2 + 2/pi	T	A086118	[2;4,1,4,1,1,2,5,1,11,1,1,5,1,6,1,3,1,1,1,1,7,...]	1967	2.20741609916247796230685674512980889
1,15470 05383 79251 52901^[Mw 32]​	Constante de Hermite^[38]​		${\displaystyle \gamma _{_{2}}}$	${\displaystyle {\frac {2}{\sqrt {3}}}={\frac {1}{\cos \,({\frac {\pi }{6}})}}}$	2/sqrt(3)	A	1+ A246724	[1;6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,...] [1;6,2]		1.15470053837925152901829756100391491
0,63092 97535 71457 43709^[Mw 33]​	Dimensión fractal del Conjunto de Cantor^[39]​		${\displaystyle d_{f}(k)}$	${\displaystyle \lim _{\varepsilon \to 0}{\frac {\log N(\varepsilon )}{\log(1/\varepsilon )}}={\frac {\log 2}{\log 3}}}$	log(2)/log(3) N[3^x=2]	T	A102525	[0;1,1,1,2,2,3,1,5,2,23,2,2,1,1,55,1,4,3,1,1,...]		0.63092975357145743709952711434276085
0,17150 04931 41536 06586^[Mw 34]​	Constante Hall-Montgomery^[40]​		${\displaystyle {{\delta }_{_{0}}}}$	${\displaystyle 1+{\frac {\pi ^{2}}{6}}+2\;\mathrm {Li} _{2}\left(-{\sqrt {e}}\;\right)\quad \mathrm {Li} _{2}\,\scriptstyle {\text{= Integral dilogarítmica}}}$	1 + Pi^2/6 + 2*PolyLog[2, -Sqrt[E]]		A143301	[0;5,1,4,1,10,1,1,11,18,1,2,19,14,1,51,1,2,1,...]		0.17150049314153606586043997155521210
1,55138 75245 48320 39226^[Mw 35]​	Constante Triángulo Calabi^[41]​		${\displaystyle {C_{_{CR}}}}$	${\displaystyle {1 \over 3}+{(-23+3i{\sqrt {237}})^{\tfrac {1}{3}} \over 3\cdot 2^{\tfrac {2}{3}}}+{11 \over 3(2(-23+3i{\sqrt {237}}))^{\tfrac {1}{3}}}}$	FindRoot[ 2x^3-2x^2-3x+2 ==0, {x, 1.5}, WorkingPrecision->40]	A	A046095	[1;1,1,4,2,1,2,1,5,2,1,3,1,1,390,1,1,2,11,6,2,...]	1946 ~	1.55138752454832039226195251026462381
0,97027 01143 92033 92574^[Mw 36]​	Constante de Lochs^[42]​		${\displaystyle {{\text{£}}_{_{Lo}}}}$	${\displaystyle {\frac {6\ln 2\ln 10}{\pi ^{2}}}}$	6*ln(2)*ln(10)/Pi^2		A086819	[0;1,32,1,1,1,2,1,46,7,2,7,10,8,1,71,1,37,1,1,...]	1964	0.97027011439203392574025601921001083
1,30568 67 ≈ ^[Mw 37]​	Dimensión fractal del círculo de Apolonio^[43]​		${\displaystyle \varepsilon }$				A052483	[0;3,2,3,16,8,10,3,1,1,2,1,3,1,2,13,1,1,4,1,5,...]		1.3056867 ≈
0,00131 76411 54853 17810^[Mw 38]​	Constante de Heath-Brown–Moroz^[44]​		${\displaystyle {C_{_{HBM}}}}$	${\displaystyle {\underset {p_{n}:\,{primo}}{\prod _{n=1}^{\infty }\left(1-{\frac {1}{p_{n}}}\right)^{7}\left(1+{\frac {7p_{n}+1}{p_{n}^{2}}}\right)}}}$	N[prod[n=1 to ∞] {((1-1/prime(n))^7) *(1+(7*prime(n)+1) /(prime(n)^2))}]	T ?	A118228	[0;758,1,13,1,2,3,56,8,1,1,1,1,1,143,1,1,1,2,...]		0.00131764115485317810981735232251358
0,14758 36176 50433 27417^[Mw 39]​	Constante gamma de Plouffe^[45]​		${\displaystyle {C}}$	${\displaystyle {\frac {1}{\pi }}\arctan {\frac {1}{2}}={\frac {1}{\pi }}\sum _{n=0}^{\infty }{\frac {(-1)^{n}}{(2^{2n+1})(2n+1)}}}$  ${\displaystyle ={\frac {1}{\pi }}\left({\frac {1}{2}}-{\frac {1}{3\cdot 2^{3}}}+{\frac {1}{5\cdot 2^{5}}}-{\frac {1}{7\cdot 2^{7}}}+\cdots \right)}$	Arctan(1/2)/Pi	T	A086203	[0;6,1,3,2,5,1,6,5,3,1,1,2,1,1,2,3,1,2,3,2,2,...]		0.14758361765043327417540107622474052
0,70523 01717 91800 96514^[Mw 40]​	Constante Primorial Suma de inversos de productos de primos ^[46]​		${\displaystyle {P_{\#}}}$	${\displaystyle {\underset {p_{n}:\,{primo}}{\sum _{n=1}^{\infty }{\frac {1}{p_{n}\#}}={\frac {1}{2}}+{\frac {1}{6}}+{\frac {1}{30}}+{\frac {1}{210}}+...=\sum _{k=1}^{\infty }\prod _{n=1}^{k}{\frac {1}{p_{n}}}}}}$	Sum[k=1 to ∞](prod[n=1 to k]{1/prime(n)})	I	A064648	[0;1,2,2,1,1,4,1,2,1,1,6,13,1,4,1,16,6,1,1,4,...]		0.70523017179180096514743168288824851
0,29156 09040 30818 78013^[Mw 41]​	Constante dimer 2D, recubrimiento con dominós^[47]​ ·^[48]​		${\displaystyle {\frac {C}{\pi }}}$  C=Cte Catalan	${\displaystyle \int \limits _{-\pi }^{\pi }{\frac {\cosh ^{-1}\left({\frac {\sqrt {\cos(t)+3}}{\sqrt {2}}}\right)}{4\pi }}dt}$	N[int[-pi to pi] {arccosh(sqrt( cos(t)+3)/sqrt(2)) /(4*Pi) /, dt}]		A143233	[0;3,2,3,16,8,10,3,1,1,2,1,3,1,2,13,1,1,4,1,5,...]		0.29156090403081878013838445646839491
0,72364 84022 98200 00940^[Mw 42]​	Constante de Sarnak		${\displaystyle {C_{sa}}}$	${\displaystyle \prod _{p>2}{\Big (}1-{\frac {p+2}{p^{3}}}{\Big )}}$	N[prod[k=2 to ∞] {1-(prime(k)+2) /(prime(k)^3)}]	T ?	A065476	[0;1,2,1,1,1,1,1,1,1,4,4,1,1,1,1,1,1,1,8,2,1,1,...]		0.72364840229820000940884914980912759
0,63212 05588 28557 67840^[Mw 43]​	Constante de tiempo^[49]​		${\displaystyle {\tau }}$	${\displaystyle \lim _{n\to \infty }1-{\frac {!n}{n!}}=\lim _{n\to \infty }P(n)=\int _{0}^{1}e^{-x}dx=1-{\frac {1}{e}}=}$  ${\displaystyle \sum \limits _{n=0}^{\infty }{\frac {(-1)^{n}}{n!}}={\frac {1}{1!}}-{\frac {1}{2!}}+{\frac {1}{3!}}-{\frac {1}{4!}}+{\frac {1}{5!}}-{\frac {1}{6!}}+\cdots }$	lim_(n->∞) (1- !n/n!) !n=subfactorial	T	A068996	[0;1,1,1,2,1,1,4,1,1,6,1,1,8,1,1,10,1,1,12,1,...] = [0;1,1,1,2n], n∈ℕ		0.63212055882855767840447622983853913
0.30366 30028 98732 65859^[Mw 44]​	Constante de Gauss-Kuzmin-Wirsing^[50]​		${\displaystyle {\lambda }_{2}}$	${\displaystyle \lim _{n\to \infty }{\frac {F_{n}(x)-\ln(1-x)}{(-\lambda )^{n}}}=\Psi (x),}$  donde ${\displaystyle \Psi (x)}$  es una función analítica tal que ${\displaystyle \Psi (0)\!=\!\Psi (1)\!=\!0}$ .			A038517	[0;3,3,2,2,3,13,1,174,1,1,1,2,2,2,1,1,1,2,2,1,...]	1973	0.30366300289873265859744812190155623
1,30357 72690 34296 39125^[Mw 45]​	Constante de Conway^[51]​		${\displaystyle {\lambda }}$	${\displaystyle {\begin{smallmatrix}x^{71}\quad \ -x^{69}-2x^{68}-x^{67}+2x^{66}+2x^{65}+x^{64}-x^{63}-x^{62}-x^{61}-x^{60}\\-x^{59}+2x^{58}+5x^{57}+3x^{56}-2x^{55}-10x^{54}-3x^{53}-2x^{52}+6x^{51}+6x^{50}\\+x^{49}+9x^{48}-3x^{47}-7x^{46}-8x^{45}-8x^{44}+10x^{43}+6x^{42}+8x^{41}-5x^{40}\\-12x^{39}+7x^{38}-7x^{37}+7x^{36}+x^{35}-3x^{34}+10x^{33}+x^{32}-6x^{31}-2x^{30}\\-10x^{29}-3x^{28}+2x^{27}+9x^{26}-3x^{25}+14x^{24}-8x^{23}\quad \ -7x^{21}+9x^{20}\\+3x^{19}\!-4x^{18}\!-10x^{17}\!-7x^{16}\!+12x^{15}\!+7x^{14}\!+2x^{13}\!-12x^{12}\!-4x^{11}\!-2x^{10}\\+5x^{9}+x^{7}\quad \ -7x^{6}+7x^{5}-4x^{4}+12x^{3}-6x^{2}+3x-6\ =\ 0\quad \quad \quad \end{smallmatrix}}}$		A	A014715	[1;3,3,2,2,54,5,2,1,16,1,30,1,1,1,2,2,1,14,1,...]	1987	1.30357726903429639125709911215255189
1,18656 91104 15625 45282^[Mw 46]​	Constante de Lévy^[52]​		${\displaystyle {\beta }}$	${\displaystyle {\frac {\pi ^{2}}{12\,\ln 2}}}$	pi^2 /(12 ln 2)		A100199	[1;5,2,1,3,1,1,28,18,16,3,2,6,2,6,1,1,5,5,9,...]	1935	1.18656911041562545282172297594723712
0,83564 88482 64721 05333	Constante de Baker^[53]​		${\displaystyle \beta _{3}}$	${\displaystyle \int _{0}^{1}{\frac {\mathrm {d} t}{1+t^{3}}}=\sum _{n=0}^{\infty }{\frac {(-1)^{n}}{3n+1}}={\frac {1}{3}}\left(\ln 2+{\frac {\pi }{\sqrt {3}}}\right)}$	Sum[n=0 to ∞] {((-1)^(n))/(3n+1)}		A113476	[0;1,5,11,1,4,1,6,1,4,1,1,1,2,1,3,2,2,2,2,1,3,...]		0.83564884826472105333710345970011076
23,10344 79094 20541 6160^[Mw 47]​	Serie de Kempner(0)^[54]​		${\displaystyle {K_{0}}}$	${\displaystyle 1{+}{\frac {1}{2}}{+}{\frac {1}{3}}{+}\cdots {+}{\frac {1}{9}}{+}{\frac {1}{11}}{+}\cdots {+}{\frac {1}{19}}{+}{\frac {1}{21}}{+}\cdots {+}\,{\text{etc.}}}$  ${\displaystyle {+}{\frac {1}{99}}{+}{\frac {1}{111}}{+}\cdots {+}{\frac {1}{119}}{+}{\frac {1}{121}}{+}\cdots \;\;{\overset {Excluidos\;los}{\underset {contienen\;ceros.}{\scriptstyle denominadores\;que}}}}$	1+1/2+1/3+1/4+1/5 +1/6+1/7+1/8+1/9 +1/11+1/12+1/13 +1/14+1/15+...		A082839	[23;9,1,2,3244,1,1,5,1,2,2,8,3,1,1,6,1,84,1,...]		23.1034479094205416160340540433255981
0,98943 12738 31146 95174^[Mw 48]​	Constante de Lebesgue^[55]​		${\displaystyle {C_{1}}}$	${\displaystyle \lim _{n\to \infty }\!\!\left(\!{L_{n}{-}{\frac {4}{\pi ^{2}}}\ln(2n{+}1)}\!\!\right)\!{=}{\frac {4}{\pi ^{2}}}\!\left({\sum _{k=1}^{\infty }\!{\frac {2\ln k}{4k^{2}{-}1}}}{-}{\frac {\Gamma '({\tfrac {1}{2}})}{\Gamma ({\tfrac {1}{2}})}}\!\!\right)}$	4/pi^2*[(2 Sum[k=1 to ∞] {ln(k)/(4*k^2-1)}) -poligamma(1/2)]		A243277	[0;1,93,1,1,1,1,1,1,1,7,1,12,2,15,1,2,7,2,1,5,...]		0.98943127383114695174164880901886671
1,38135 64445 18497 79337	Constante Beta Kneser-Mahler^[56]​		${\displaystyle \beta }$	${\displaystyle e^{^{\textstyle {\frac {2}{\pi }}\displaystyle {\int _{0}^{\frac {\pi }{3}}}\textstyle {t\tan t\ dt}}}=e^{^{\displaystyle {\,\int _{\frac {-1}{3}}^{\frac {1}{3}}}\textstyle {\,\ln \lfloor 1+e^{2\pi it}}\rfloor dt}}}$	e^((PolyGamma(1,4/3) - PolyGamma(1,2/3) +9)/(4*sqrt(3)*Pi))		A242710	[1;2,1,1,1,1,1,4,1,139,2,1,3,5,16,2,1,1,7,2,1,...]	1963	1.38135644451849779337146695685062412
1,18745 23511 26501 05459^[Mw 49]​	Constante de Foias α^[57]​		${\displaystyle F_{\alpha }}$	${\displaystyle x_{n+1}=\left(1+{\frac {1}{x_{n}}}\right)^{n}{\text{ para }}n=1,2,3,\ldots }$  La constante de Foias es el único número real tal que si x1 = α, entonces la secuencia diverge a ∞. Cuando x1 = α, ${\displaystyle \,\lim _{n\to \infty }x_{n}{\tfrac {\log n}{n}}=1}$			A085848	[1;5,2,1,81,3,2,2,1,1,1,1,1,6,1,1,3,1,1,4,3,2,...]	1970	1.18745235112650105459548015839651935
2,29316 62874 11861 03150^[Mw 50]​	Constante de Foias β		${\displaystyle F_{\beta }}$	${\displaystyle x^{x+1}=(x+1)^{x}}$	x^(x+1) = (x+1)^x		A085846	[2;3,2,2,3,4,2,3,2,130,1,1,1,1,1,6,3,2,1,15,1,...]	2000	2.29316628741186103150802829125080586
0,66170 71822 67176 23515^[Mw 51]​	Constante de Robbins^[58]​		${\displaystyle \Delta (3)}$	${\displaystyle {\frac {4\!+\!17{\sqrt {2}}\!-6{\sqrt {3}}\!-7\pi }{105}}\!+\!{\frac {\ln(1\!+\!{\sqrt {2}})}{5}}\!+\!{\frac {2\ln(2\!+\!{\sqrt {3}})}{5}}}$	(4+17*2^(1/2)-6 *3^(1/2)+21*ln(1+ 2^(1/2))+42*ln(2+ 3^(1/2))-7*Pi)/105		A073012	[0;1,1,1,21,1,2,1,4,10,1,2,2,1,3,11,1,331,1,4,...]	1978	0.66170718226717623515583113324841358
0,78853 05659 11508 96106^[Mw 52]​	Constante de Lüroth^[59]​		${\displaystyle C_{L}}$	${\displaystyle \sum _{n=2}^{\infty }{\frac {\ln \left({\frac {n}{n-1}}\right)}{n}}}$	Sum[n=2 to ∞] log(n/(n-1))/n		A085361	[0;1,3,1,2,1,2,4,1,127,1,2,2,1,3,8,1,1,2,1,16,...]		0.78853056591150896106027632216944432
0,92883 58271^[Mw 53]​	Constante entre primos gemelos de JJGJJG^[60]​		${\displaystyle B_{1}}$	${\displaystyle {\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{12}}+{\frac {1}{18}}+{\frac {1}{30}}+{\frac {1}{42}}+{\frac {1}{60}}+{\frac {1}{72}}+\cdots }$	1/4 + 1/6 + 1/12 + 1/18 + 1/30 + 1/42 + 1/60 + 1/72 + ...		A241560	[0; 1, 13, 19, 4, 2, 3, 1, 1]	2014	0.928835827131
5,24411 51085 84239 62092^[Mw 54]​	Constante 2 Lemniscata^[61]​		${\displaystyle 2\varpi }$	${\displaystyle {\frac {[\Gamma ({\tfrac {1}{4}})]^{2}}{\sqrt {2\pi }}}=4\int _{0}^{1}{\frac {dx}{\sqrt {(1-x^{2})(2-x^{2})}}}}$	Gamma[ 1/4 ]^2 /Sqrt[ 2 Pi ]		A064853	[5;4,10,2,1,2,3,29,4,1,2,1,2,1,2,1,4,9,1,4,1,2,...]	1718	5.24411510858423962092967917978223883
0,57595 99688 92945 43964^[Mw 55]​	Constante Stephens^[62]​		${\displaystyle C_{S}}$	${\displaystyle \prod _{n=1}^{\infty }\left(1-{\frac {p}{p^{3}-1}}\right)}$	Prod[n=1 to ∞] {1-prime(n) /(prime(n)^3-1)}	T ?	A065478	[0;1,1,2,1,3,1,3,1,2,1,77,2,1,1,10,2,1,1,1,7,...]	?	0.57595996889294543964316337549249669
0,73908 51332 15160 64165^[Mw 56]​	Número de Dottie^[63]​		${\displaystyle d}$	${\displaystyle \lim _{x\to \infty }\cos ^{x}(c)=\underbrace {\cos(\cos(\cos(\cos(\cdots (\cos(c))))))} _{x}}$	cos(c)=c	T	A003957	[0;1,2,1,4,1,40,1,9,4,2,1,15,2,12,1,21,1,17,...]		0.73908513321516064165531208767387340
0,67823 44919 17391 97803^[Mw 57]​	Constante Taniguchi^[64]​		${\displaystyle C_{T}}$	${\displaystyle \prod _{n=1}^{\infty }\left(1-{\frac {3}{{p_{n}}^{3}}}+{\frac {2}{{p_{n}}^{4}}}+{\frac {1}{{p_{n}}^{5}}}-{\frac {1}{{p_{n}}^{6}}}\right)}$  ${\displaystyle \scriptstyle p_{n}=\,{\text{primo}}}$	Prod[n=1 to ∞] {1 -3/prime(n)^3 +2/prime(n)^4 +1/prime(n)^5 -1/prime(n)^6}	T ?	A175639	[0;1,2,9,3,1,2,9,11,1,13,2,15,1,1,1,2,4,1,1,1,...]	?	0.67823449191739197803553827948289481
1,35845 62741 82988 43520^[Mw 58]​	Constante espiral áurea		${\displaystyle c}$	${\displaystyle \varphi ^{\frac {2}{\pi }}=\left({\frac {1+{\sqrt {5}}}{2}}\right)^{\frac {2}{\pi }}}$	GoldenRatio^(2/Pi)		A212224	[1;2,1,3,1,3,10,8,1,1,8,1,15,6,1,3,1,1,2,3,1,1,...]		1.35845627418298843520618060050187945
2,79128 78474 77920 00329	Raíces anidadas S5		${\displaystyle S_{5}}$	${\displaystyle \displaystyle {\frac {{\sqrt {21}}+1}{2}}=\scriptstyle \,{\sqrt {5+{\sqrt {5+{\sqrt {5+{\sqrt {5+{\sqrt {5+\cdots }}}}}}}}}}\;}$  ${\displaystyle =1+\,\scriptstyle {\sqrt {5-{\sqrt {5-{\sqrt {5-{\sqrt {5-{\sqrt {5-\cdots }}}}}}}}}}\;}$	(sqrt(21)+1)/2	A	A222134	[2;1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,...] [2;1,3]		2.79128784747792000329402359686400424
1,85407 46773 01371 91843^[Mw 59]​	Constante Lemniscata de Gauss^[65]​		${\displaystyle L{\text{/}}{\sqrt {2}}}$	${\displaystyle \int \limits _{0}^{\infty }{\frac {\mathrm {d} x}{\sqrt {1+x^{4}}}}={\frac {1}{4{\sqrt {\pi }}}}\,\Gamma \left({\frac {1}{4}}\right)^{2}={\frac {4\left({\frac {1}{4}}!\right)^{2}}{\sqrt {\pi }}}}$  Γ() = Función Gamma	pi^(3/2)/(2 Gamma(3/4)^2)		A093341	[1;1,5,1,5,1,3,1,6,2,1,4,16,3,112,2,1,1,18,1,...]	?	1.85407467730137191843385034719526005
1,75874 36279 51184 82469	Constante Producto infinito, con Alladi-Grinstead^[66]​		${\displaystyle Pr_{1}}$	${\displaystyle \prod _{n=2}^{\infty }{\Big (}1+{\frac {1}{n}}{\Big )}^{\frac {1}{n}}}$	Prod[n=2 to ∞] {(1+1/n)^(1/n)}		A242623	[1;1,3,6,1,8,1,4,3,1,4,1,1,1,6,5,2,40,1,387,2,...]	1977	1.75874362795118482469989684865589317
1,73245 47146 00633 47358^[Ow 5]​	Constante inversa de Euler-Mascheroni		${\displaystyle {\frac {1}{\gamma }}}$	${\displaystyle \left(\int _{0}^{1}-\log \left(\log {\frac {1}{x}}\right)\,dx\right)^{-1}=\sum _{n=1}^{\infty }(-1)^{n}(-1+\gamma )^{n}}$	1/Integrate_ (x=0 to 1) {-log(log(1/x))}		A098907	[1;1,2,1,2,1,4,3,13,5,1,1,8,1,2,4,1,1,40,1,11,...]		1.73245471460063347358302531586082968
1,94359 64368 20759 20505^[Mw 60]​	Constante Euler Totient^[67]​^[68]​		${\displaystyle ET}$	${\displaystyle {\underset {p{\text{= Nros. primos}}}{\prod _{p}{\Big (}1+{\frac {1}{p(p-1)}}{\Big )}}}={\frac {\zeta (2)\;\zeta (3)}{\zeta (6)}}={\frac {315\;\zeta (3)}{2\pi ^{4}}}}$	zeta(2)*zeta(3) /zeta(6)		A082695	[1;1,16,1,2,1,2,3,1,1,3,2,1,8,1,1,1,1,1,1,1,32,...]	1750	1.94359643682075920505707036257476343
1,49534 87812 21220 54191	Raíz cuarta de cinco^[69]​		${\displaystyle {\sqrt[{4}]{5}}}$	${\displaystyle {\sqrt[{5}]{5\,{\sqrt[{5}]{5\,{\sqrt[{5}]{5\,{\sqrt[{5}]{5\,{\sqrt[{5}]{5\,\cdots }}}}}}}}}}}$	(5(5(5(5(5(5(5) ^1/5)^1/5)^1/5) ^1/5)^1/5)^1/5) ^1/5 ...	A	A011003	[1;2,53,4,96,2,1,6,2,2,2,6,1,4,1,49,17,2,3,2,...]		1.49534878122122054191189899414091339
0,87228 40410 65627 97617^[Mw 61]​	Área Círculo de Ford^[70]​		${\displaystyle A_{CF}}$	${\displaystyle \sum _{q\geq 1}\sum _{(p,q)=1 \atop 1\leq p<q}\pi \left({\frac {1}{2q^{2}}}\right)^{2}={\frac {\pi }{4}}{\frac {\zeta (3)}{\zeta (4)}}={\frac {45}{2}}{\frac {\zeta (3)}{\pi ^{3}}}}$  ς() = Función zeta	pi Zeta(3) /(4 Zeta(4))			[0;1,6,1,4,1,7,5,36,3,29,1,1,10,3,2,8,1,1,1,3,...]	?	0.87228404106562797617519753217122587
1,08232 32337 11138 19151^[Mw 62]​	Constante Zeta(4)^[71]​		${\displaystyle \zeta (4)}$	${\displaystyle {\frac {\pi ^{4}}{90}}=\sum _{n=1}^{\infty }{\frac {1}{n^{4}}}={\frac {1}{1^{4}}}+{\frac {1}{2^{4}}}+{\frac {1}{3^{4}}}+{\frac {1}{4^{4}}}+{\frac {1}{5^{4}}}+...}$	Sum[n=1 to ∞] {1/n^4}	T	A013662	[1;12,6,1,3,1,4,183,1,1,2,1,3,1,1,5,4,2,7,...]		1.08232323371113819151600369654116790
1,56155 28128 08830 27491	Raíz Triangular de 2.^[72]​		${\displaystyle {R_{2}}}$	${\displaystyle {\frac {{\sqrt {17}}-1}{2}}=\,\scriptstyle {\sqrt {4+{\sqrt {4+{\sqrt {4+{\sqrt {4+{\sqrt {4+{\sqrt {4+\cdots }}}}}}}}}}}}\,\,-1}$  ${\displaystyle =\,\scriptstyle {\sqrt {4-{\sqrt {4-{\sqrt {4-{\sqrt {4-{\sqrt {4-{\sqrt {4-\cdots }}}}}}}}}}}}\textstyle }$	(sqrt(17)-1)/2	A	A222133	[1;1,1,3,1,1,3,1,1,3,1,1,3,1,1,3,1,1,3,1,1,3,1,...] [1;1,1,3]		1.56155281280883027491070492798703851
1,45607 49485 82689 67139^[Mw 63]​	Constante de Backhouse^[73]​		${\displaystyle {B}}$	${\displaystyle \lim _{k\to \infty }\left|{\frac {q_{k+1}}{q_{k}}}\right\vert \quad \scriptstyle {\text{donde:}}\displaystyle \;\;Q(x)={\frac {1}{P(x)}}=\!\sum _{k=1}^{\infty }q_{k}x^{k}}$  ${\displaystyle P(x)=\!\sum _{k=1}^{\infty }{\underset {p_{k}:\,{primo}}{p_{k}x^{k}}}\!\!=1{+}2x{+}3x^{2}{+}5x^{3}{+}7x^{4}{+}...}$	1/( FindRoot[0 == 1 + Sum[x^n Prime[n], {n, 10000}], {x, {1}})		A072508	[1;2,5,5,4,1,1,18,1,1,1,1,1,2,13,3,1,2,4,16,4,...]	1995	1.45607494858268967139959535111654355
1,43599 11241 76917 43235^[Mw 64]​	Constante interpolación de Lebesgue^[74]​ ·^[75]​		${\displaystyle {L_{1}}}$	${\displaystyle \prod _{\begin{smallmatrix}i=0\\j\neq i\end{smallmatrix}}^{n}{\frac {x-x_{i}}{x_{j}-x_{i}}}={\frac {1}{\pi }}\int _{0}^{\pi }{\frac {\lfloor \sin {\frac {3t}{2}}\rfloor }{\sin {\frac {t}{2}}}}\,dt={\frac {1}{3}}+{\frac {2{\sqrt {3}}}{\pi }}}$	1/3 + 2*sqrt(3)/Pi	T	A226654	[1;2,3,2,2,6,1,1,1,1,4,1,7,1,1,1,2,1,3,1,2,1,1,...]	1902 ~	1.43599112417691743235598632995927221
1,04633 50667 70503 18098	Constante mass Minkowski-Siegel^[76]​		${\displaystyle F_{1}}$	${\displaystyle \prod _{n=1}^{\infty }{\frac {n!}{{\sqrt {2\pi n}}\left({\frac {n}{e}}\right)^{n}{\sqrt[{12}]{1+{\tfrac {1}{n}}}}}}}$	N[prod[n=1 to ∞] n! /(sqrt(2*Pi*n) *(n/e)^n *(1+1/n) ^(1/12))]		A213080	[1;21,1,1,2,1,1,4,2,1,5,7,2,1,20,1,1,1134,3,..]	1867 1885 1935	1.04633506677050318098095065697776037
1,86002 50792 21190 30718	Constante espiral de Theodorus^[77]​		${\displaystyle \partial }$	${\displaystyle \sum _{n=1}^{\infty }{\frac {1}{{\sqrt {n^{3}}}+{\sqrt {n}}}}=\sum _{n=1}^{\infty }{\frac {1}{{\sqrt {n}}(n+1)}}}$	Sum[n=1 to ∞] {1/(n^(3/2) +n^(1/2))}		A226317	[1;1,6,6,1,15,11,5,1,1,1,1,5,3,3,3,2,1,1,2,19,...]	-460 a -399	1.86002507922119030718069591571714332
0,80939 40205 40639 13071^[Mw 65]​	Constante de Alladi-Grinstead^[78]​		${\displaystyle {{\mathcal {A}}_{AG}}}$	${\displaystyle e^{-1+\sum \limits _{k=2}^{\infty }\sum \limits _{n=1}^{\infty }{\frac {1}{nk^{n+1}}}}=e^{-1-\sum \limits _{k=2}^{\infty }{\frac {1}{k}}\ln \left(1-{\frac {1}{k}}\right)}}$	e^{(sum[k=2 to ∞] |sum[n=1 to ∞] {1/(n k^(n+1))})-1}		A085291	[0;1,4,4,17,4,3,2,5,3,1,1,1,1,6,1,1,2,1,22,...]	1977	0.80939402054063913071793188059409131
1,26185 95071 42914 87419^[Mw 66]​	Dimensión fractal del Copo de nieve de Koch^[79]​		${\displaystyle {C_{k}}}$	${\displaystyle {\frac {\log 4}{\log 3}}}$	log(4)/log(3)	T	A100831	[1;3,1,4,1,1,11,1,46,1,5,112,1,1,1,1,1,3,1,7,...]		1.26185950714291487419905422868552171
1,22674 20107 20353 24441^[Mw 67]​	Constante Factorial de Fibonacci^[80]​		${\displaystyle F}$	${\displaystyle \prod _{n=1}^{\infty }\left(1-\left(-{\frac {1}{{\varphi }^{2}}}\right)^{n}\right)=\prod _{n=1}^{\infty }\left(1-\left({\frac {{\sqrt {5}}-3}{2}}\right)^{n}\right)}$	prod[n=1 to ∞] {1-((sqrt(5) -3)/2)^n}		A062073	[1;4,2,2,3,2,15,9,1,2,1,2,15,7,6,21,3,5,1,23,...]		1.22674201072035324441763023045536165
0,85073 61882 01867 26036^[Mw 68]​	Constante de plegado de papel^[81]​ ·^[82]​		${\displaystyle {P_{f}}}$	${\displaystyle \sum _{n=0}^{\infty }{\frac {8^{2^{n}}}{2^{2^{n+2}}-1}}=\sum _{n=0}^{\infty }{\cfrac {\tfrac {1}{2^{2^{n}}}}{1-{\tfrac {1}{2^{2^{n+2}}}}}}}$	N[Sum[n=0 to ∞] {8^2^n/(2^2^ (n+2)-1)},37]		A143347	[0;1,5,1,2,3,21,1,4,107,7,5,2,1,2,1,1,2,1,6,...]	?	0.85073618820186726036779776053206660
6,58088 59910 17920 97085	Constante de Froda^[83]​		${\displaystyle 2^{\,e}}$	${\displaystyle 2^{e}}$	2^e			[6;1,1,2,1,1,2,3,1,14,11,4,3,1,1,7,5,5,2,7,...]		6.58088599101792097085154240388648649
– 0,5 ± 0,86602 54037 84438 64676 i	Raíz cúbica de 1^[84]​		${\displaystyle {\sqrt[{3}]{1}}}$	${\displaystyle {\begin{cases}\ \ 1\\-{\frac {1}{2}}+{\frac {\sqrt {3}}{2}}i\\-{\frac {1}{2}}-{\frac {\sqrt {3}}{2}}i.\end{cases}}}$	1, E^(2i pi/3) , E^(-2i pi/3)	CA	A010527	- [0,5] ± [0;1,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,...] i - [0,5] ± [0; 1, 6, 2] i		- 0,5 ± 0.8660254037844386467637231707529 i
1,11786 41511 89944 97314^[Mw 69]​	Constante de Goh-Schmutz^[85]​		${\displaystyle C_{GS}}$	${\displaystyle \int _{0}^{\infty }{\frac {\log(s+1)}{e^{s}-1}}\ ds=\!-\!\sum _{n=1}^{\infty }{\frac {e^{n}}{n}}Ei(-n){\overset {Ei:}{\underset {Exponencial}{\scriptstyle Integral}}}}$	Integrate{ log(s+1) /(E^s-1)}		A143300	[1;8,2,15,2,7,2,1,1,1,1,2,3,5,3,5,1,1,4,13,1,...]		1.11786415118994497314040996202656544
1,11072 07345 39591 56175^[Mw 70]​	Razón entre un cuadrado y la circunferencia circunscrita^[86]​		${\displaystyle {\frac {\pi }{2{\sqrt {2}}}}}$	${\displaystyle \sum _{n=1}^{\infty }{\frac {(-1)^{\lfloor {\frac {n-1}{2}}\rfloor }}{2n+1}}={\frac {1}{1}}+{\frac {1}{3}}-{\frac {1}{5}}-{\frac {1}{7}}+{\frac {1}{9}}+{\frac {1}{11}}-...}$	Sum[n=1 to ∞] {(-1)^(floor((n-1)/2)) /(2n-1)}	T	A093954	[1;9,31,1,1,17,2,3,3,2,3,1,1,2,2,1,4,9,1,3,...]		1.11072073453959156175397024751517342
2,82641 99970 67591 57554^[Mw 71]​	Constante de Murata^[87]​		${\displaystyle {C_{m}}}$ Marcha 20, 2024 Últimos artículos Enero 01, 1970 Delfín Hernández Hernández Enero 01, 1970 Delfín Vidalón Enero 01, 1970 Delfín girador Enero 01, 1970 Delhaize Enero 01, 1970 Delincuencia en el Perú Enero 01, 1970 Delineador de ojos Enero 01, 1970 Delio Moreno Cantón Enero 01, 1970 Delia (nombre) Enero 01, 1970 Delia (cantante) Enero 01, 1970 Delia González de Reufels Más leído Enero 01, 1970 Affinity (álbum) Enero 01, 1970 Afidas Enero 01, 1970 Afiladura Enero 01, 1970 Afinidad Enero 01, 1970 Afirmacion anexo, constantes, matemáticas, contenido, presente, anexo, listado, constantes, matemáticas, Índice, constantes, funciones, matemáticas, tabla, constantes, matemáticas, libros, referencias, sitio, mathworld, wolfram, sitio, oeis, wiki, enlaces, externosconsta. El contenido del presente anexo es un listado de constantes matematicas Indice 1 Constantes y funciones matematicas 2 Tabla de constantes matematicas 3 Libros 4 Referencias 4 1 Sitio MathWorld Wolfram com 4 2 Sitio OEIS Wiki 5 Enlaces externosConstantes y funciones matematicas editarLa estructura de la tabla es la siguiente Valor numerico de la constante y enlace a MathWorld o a OEIS Wiki LaTeX Formula o serie en el formato TeX Formula Para utilizar en Wolfram Alpha Si en los calculos demora mucho tiempo puede cambiarse por 20000 para obtener un resultado aproximado OEIS On Line Encyclopedia of Integer Sequences Fraccion continua En el formato simple Parte entera frac1 frac2 frac3 suprarrayada si es periodica Ano Del descubrimiento de la constante o datos del autor Formato web Valor de la constante en formato adecuado para los buscadores web N º Tipo de Numero R Racional I Irracional A Algebraico T Trascendental C Complejo La tabla se puede ordenar ascendente o descendente por cualquiera de los campos sin mas que pulsar en los titulos del encabezado Constantes y funciones matematicas Valor Nombre Grafico Simbolo LaTeX Formula N º OEIS Fraccion continua Ano Formato web0 08607 13320 55934 20688 Ow 1 Constante Erdos Tenenbaum Ford d displaystyle delta nbsp 1 1 log log 2 log 2 displaystyle 1 frac 1 log log 2 log 2 nbsp 1 1 log log 2 log 2 A074738 0 11 1 1 1 1 1 1 1 2 3 2 1 4 1 1 10 1 1 8 2 0 086071332055934206887573098776922671 46557 12318 76768 02665 Proporcion super aurea 1 nbsp ps displaystyle psi nbsp 1 29 3 93 2 3 29 3 93 2 3 3 displaystyle frac 1 sqrt 3 frac 29 3 sqrt 93 2 sqrt 3 frac 29 3 sqrt 93 2 3 nbsp real root of x 3 x 2 1 A displaystyle mathbb A nbsp A092526 1 4 6 5 5 7 1 2 3 1 8 7 6 7 6 8 0 2 6 6 5 6 1 465571231876768026656731225219939100 88622 69254 52758 01364 Mw 1 Factorial de un medio 2 5 displaystyle 5 nbsp G 3 2 1 2 p 0 x 1 2 e x d x displaystyle Gamma left tfrac 3 2 right tfrac 1 2 sqrt pi int 0 infty x 1 2 e x dx nbsp sqrt Pi 2 A019704 0 1 7 1 3 1 2 1 57 6 1 3 1 37 3 41 1 10 2 0 886226925452758013649083741670572590 74048 04896 93061 04116 Mw 2 Constante de Hermite Empaquetamiento optimo de esferas 3D Conjetura de Kepler 3 nbsp m K displaystyle mu K nbsp p 3 2 displaystyle frac pi 3 sqrt 2 color white color black nbsp Despues de 400 anos Thomas Hales demostro en 2014 con El Proyecto Flyspeck que la Conjetura de Kepler era cierta 4 pi 3 sqrt 2 A093825 0 1 2 1 5 1 4 2 2 1 1 2 2 2 6 1 1 1 5 2 1 1 1 1611 0 740480489693061041169313498343448941 60669 51524 15291 76378 Mw 3 Constante de Erdos Borwein 5 6 E B displaystyle E B nbsp m 1 n 1 1 2 m n n 1 1 2 n 1 1 1 1 3 1 7 1 15 displaystyle sum m 1 infty sum n 1 infty frac 1 2 mn sum n 1 infty frac 1 2 n 1 frac 1 1 frac 1 3 frac 1 7 frac 1 15 nbsp sum n 1 to 1 2 n 1 I A065442 1 1 1 1 1 5 2 1 2 29 4 1 2 2 2 2 6 1 7 1 6 1 2 1949 1 606695152415291763783301523190924580 07077 60393 11528 80353 0 68400 03894 37932 129 i Ow 2 Constante MKB 7 8 9 M I displaystyle M I nbsp lim n 1 2 n 1 x x x d x 1 2 n e i p x x 1 x d x displaystyle lim n rightarrow infty int 1 2n 1 x sqrt x x dx int 1 2n e i pi x x 1 x dx nbsp lim 2n gt int 1 to 2n exp i Pi x x 1 x dx C A255727 A255728 0 14 7 1 2 1 23 2 1 8 16 1 1 3 1 26 1 6 1 1 0 1 2 6 13 41 112 1 25 1 1 1 1 3 13 2 1 i 2009 0 07077603931152880353952802183028200 0 68400038943793212918274445999266 i3 05940 74053 42576 14453 Mw 4 Ow 3 Constante Doble factorial nbsp C n displaystyle C n nbsp n 0 1 n e 1 2 g 1 2 1 2 displaystyle sum n 0 infty frac 1 n sqrt e left frac 1 sqrt 2 gamma tfrac 1 2 tfrac 1 2 right nbsp Sum n 0 to 1 n A143280 3 16 1 4 1 66 10 1 1 1 1 2 5 1 2 1 1 1 1 1 2 3 059407405342576144539475499233278610 62481 05338 43826 58687 1 30024 25902 20120 419 i Fraccion continua generalizada de i F C G i displaystyle F CG i nbsp i i i i i i i i i i i i i i 17 1 8 i 1 2 2 17 1 displaystyle textstyle i frac i i frac i i frac i i frac i i frac i i frac i i i sqrt frac sqrt 17 1 8 i left tfrac 1 2 sqrt frac 2 sqrt 17 1 right nbsp i i i i i i i i i i i i i i i i i i i i i i i i i i i i i i i i i i i i i i i i i i C A A156590A156548 i 1 i 1 i 1 i 1 i 1 i 1 i 1 i 1 i 1 i 1 i 1 i 1 0 1 i 0 62481053384382658687960444744285144 1 30024259022012041915890982074952 i0 91893 85332 04672 74178 Mw 5 Formula de Raabe 10 z 0 displaystyle zeta 0 nbsp a a 1 log G t d t 1 2 log 2 p a log a a a 0 displaystyle int limits a a 1 log Gamma t mathrm d t tfrac 1 2 log 2 pi a log a a quad a geq 0 nbsp integral a a 1 log Gamma x a a log a dx A075700 0 1 11 2 1 36 1 1 3 3 5 3 1 18 2 1 1 2 2 1 1 0 918938533204672741780329736405617630 42215 77331 15826 62702 Mw 6 Volumen del Tetraedro de Reuleaux 11 nbsp V R displaystyle V R nbsp s 3 12 3 2 49 p 162 arctan 2 displaystyle frac s 3 12 3 sqrt 2 49 pi 162 arctan sqrt 2 nbsp 3 Sqrt 2 49 Pi 162 ArcTan Sqrt 2 12 A102888 0 2 2 1 2 2 7 4 4 287 1 6 1 2 1 8 5 1 1 1 1 0 422157733115826627023365916623850751 17628 08182 59917 50654 Mw 7 Constante de Salem conjetura de Lehmer 12 s 10 displaystyle sigma 10 nbsp x 10 x 9 x 7 x 6 x 5 x 4 x 3 x 1 displaystyle x 10 x 9 x 7 x 6 x 5 x 4 x 3 x 1 nbsp x 10 x 9 x 7 x 6 x 5 x 4 x 3 x 1 A A073011 1 5 1 2 17 1 7 2 1 1 2 4 7 2 2 1 1 15 1 1 1983 1 176280818259917506544070338474035052 39996 32297 28653 32223 Mw 8 Radianes Angulo aureo 13 nbsp nbsp b displaystyle b nbsp 4 2 F p 3 5 p displaystyle 4 2 Phi pi 3 sqrt 5 pi nbsp 137 507764050037854646 4 2 Phi Pi T A131988 2 2 1 1 1087 4 4 120 2 1 1 2 1 1 7 7 2 11 1907 2 399963229728653322231555506633613851 26408 47353 05301 11307 Mw 9 Constante de Vardi 14 V c displaystyle V c nbsp 3 2 n 1 1 1 2 e n 1 2 1 2 n 1 displaystyle frac sqrt 3 sqrt 2 prod n geq 1 left 1 1 over 2e n 1 2 right 1 2 n 1 nbsp A076393 1 3 1 3 1 2 5 54 7 1 2 1 2 3 15 1 2 1 1 2 1 1991 1 264084735305301113079599584164669491 5065918849 0 0000000028 Mw 10 Area del fractal de Mandelbrot 15 nbsp g displaystyle gamma nbsp Se conjetura que el valor exacto es 6 p 1 e displaystyle sqrt 6 pi 1 e nbsp 1 506591651 A098403 1 1 1 37 2 2 1 10 1 1 2 2 4 1 1 1 1 5 4 1912 1 50659177 0 000000081 61111 49258 08376 736 111 111 27224 36828 Mw 11 183213 unos Constante Factorial exponencial S E f displaystyle S Ef nbsp n 1 1 n n 1 2 1 1 1 2 1 1 3 2 1 1 4 3 2 1 1 5 4 3 2 1 displaystyle sum n 1 infty frac 1 n n 1 cdot cdot cdot 2 1 1 frac 1 2 1 frac 1 3 2 1 frac 1 4 3 2 1 frac 1 5 4 3 2 1 cdots nbsp T A080219 1 1 1 1 1 2 1 808 2 1 2 1 14 1 611114925808376736111111111111111110 31813 15052 04764 13531 1 33723 57014 30689 40 i Ow 4 Punto fijo Super logaritmo 16 17 nbsp W 1 displaystyle W 1 nbsp lim n displaystyle lim n rightarrow infty nbsp f x log log log log log log x log s anidados n veces displaystyle f x underbrace log log log log cdots log log x atop log s text anidados n veces nbsp Para un valor inicial de x distinto a 0 1 e e e e e e etc W 1 Donde W ProductLog Lambert W function C A059526 A059527 i 1 2i 1 i 6 i 1 2i 7 3i 2i 2 1 2i 1 i 0 31813150520476413531265425158766451 1 33723570143068940890116214319371 i1 09317 04591 95490 89396 Mw 12 Constante de Smarandache 1 ª 18 S 1 displaystyle S 1 nbsp n 2 1 m n displaystyle sum n 2 infty frac 1 mu n color white color black nbsp La funcion Kempner m n se define como sigue m n es el numero mas pequeno por el que m n es divisible por n A048799 1 10 1 2 1 2 1 13 3 1 6 1 2 11 4 6 2 15 1 1 1 093170459195490893968201370145208321 64218 84352 22121 13687 Mw 13 Constante de Lebesgue L2 19 L 2 displaystyle L2 nbsp 1 5 25 2 5 p 1 p 0 p sen 5 t 2 sen t 2 d t displaystyle frac 1 5 frac sqrt 25 2 sqrt 5 pi frac 1 pi int 0 pi frac left operatorname sen frac 5t 2 right operatorname sen frac t 2 dt nbsp 1 5 sqrt 25 2 sqrt 5 Pi T A226655 1 1 1 1 3 1 6 1 5 2 2 3 1 2 7 1 3 5 2 2 1 1 1910 1 642188435222121136873627988922940340 82699 33431 32688 07426 Mw 14 Disk Covering 20 nbsp C 5 displaystyle C 5 nbsp 1 n 0 1 3 n 2 2 3 3 2 p displaystyle frac 1 sum n 0 infty frac 1 binom 3n 2 2 frac 3 sqrt 3 2 pi nbsp 3 Sqrt 3 2 Pi T A086089 0 1 4 1 3 1 1 4 1 2 2 1 1 7 1 4 4 2 1 1 1 1 1939 1949 0 826993343132688074266989747469454161 78723 16501 82965 93301 Mw 15 Constante de Komornik Loreti 21 q displaystyle q nbsp 1 n 1 t k q k Raiz real de n 0 1 1 q 2 n q 2 q 1 0 displaystyle 1 sum n 1 infty frac t k q k qquad scriptstyle text Raiz real de displaystyle prod n 0 infty left 1 frac 1 q 2 n right frac q 2 q 1 0 nbsp tk Sucesion de Thue Morse FindRoot prod n 0 to 1 1 x 2 n x 2 x 1 0 x 1 7 WorkingPrecision gt 30 T A055060 1 1 3 1 2 3 188 1 12 1 1 22 33 1 10 1 1 7 1998 1 787231650182965933013274890337008390 59017 02995 08048 11302 Mw 16 Constante de Chebyshev 22 23 l C h displaystyle lambda Ch nbsp G 1 4 2 4 p 3 2 4 1 4 2 p 3 2 displaystyle frac Gamma tfrac 1 4 2 4 pi 3 2 frac 4 tfrac 1 4 2 pi 3 2 nbsp Gamma 1 4 2 4 pi 3 2 A249205 0 1 1 2 3 1 2 41 1 6 5 124 5 2 2 1 1 6 1 2 0 590170299508048113022668970279244290 52382 25713 89864 40645 Mw 17 Funcion Chi Coseno hiperbolico integral nbsp C h i displaystyle operatorname Chi nbsp g 0 x cosh t 1 t d t displaystyle gamma int 0 x frac cosh t 1 t dt nbsp g Constante de Euler Mascheroni 0 5772156649 displaystyle scriptstyle gamma text Constante de Euler Mascheroni 0 5772156649 nbsp Chi x A133746 0 1 1 9 1 172 1 7 1 11 1 1 2 1 8 1 1 1 1 1 0 523822571389864406450958294383255660 62432 99885 43550 87099 Mw 18 Constante de Golomb Dickman 24 l displaystyle lambda nbsp 0 f x x 2 d x P a r a x gt 2 0 1 e L i n d n Li Integral logaritmica displaystyle int limits 0 infty underset Para x gt 2 frac f x x 2 dx int limits 0 1 e Li n dn quad scriptstyle text Li Integral logaritmica nbsp N Int n 0 1 e Li n 34 A084945 0 1 1 1 1 1 22 1 2 3 1 1 11 1 1 2 22 2 6 1 1930 y 1964 0 624329988543550870992936383100837240 98770 03907 36053 46013 Mw 19 Area delimitada por la rotacion excentrica del Triangulo de Reuleaux 25 nbsp T R displaystyle mathcal T R nbsp a 2 2 3 p 6 3 displaystyle a 2 cdot left 2 sqrt 3 frac pi 6 3 right nbsp donde a lado del cuadrado 2 sqrt 3 pi 6 3 T A066666 0 1 80 3 3 2 1 1 1 4 2 2 1 1 1 8 1 2 10 1 2 1914 0 987700390736053460131999913558328540 70444 22009 99165 59273 Constante Carefree2 26 C 2 displaystyle mathcal C 2 nbsp n 1 1 1 p n p n 1 p n p r i m o displaystyle underset p n primo prod n 1 infty left 1 frac 1 p n p n 1 right nbsp N prod n 1 to 1 1 prime n prime n 1 A065463 0 1 2 2 1 1 1 1 4 2 1 1 3 703 2 1 1 1 3 5 1 0 704442200999165592736603350326637211 84775 90650 22573 51225 Mw 20 Constante camino auto evitante en red hexagonal 27 28 nbsp m displaystyle mu nbsp 2 2 lim n c n 1 n displaystyle sqrt 2 sqrt 2 lim n rightarrow infty c n 1 n nbsp La menor raiz real de x 4 4 x 2 2 0 displaystyle x 4 4x 2 2 0 nbsp sqrt 2 sqrt 2 A A179260 1 1 5 1 1 3 6 1 3 3 10 10 1 1 1 5 2 3 1 1 3 1 847759065022573512256366378793576570 19452 80494 65325 11361 Mw 21 2 ª Constante Du Bois Reymond 29 C 2 displaystyle C 2 nbsp e 2 7 2 0 d d t sin t t n d t 1 displaystyle frac e 2 7 2 int 0 infty left frac d dt left frac sin t t right n right dt 1 nbsp e 2 7 2 T A062546 0 5 7 9 11 13 15 17 19 21 23 25 27 29 31 0 2p 3 p ℕ 0 194528049465325113615213730287503902 59807 62113 53315 94029 Mw 22 Area de un hexagono de lado unitario 30 nbsp A 6 displaystyle mathcal A 6 nbsp 3 3 2 l 2 displaystyle frac 3 sqrt 3 2 l 2 nbsp 3 sqrt 3 2 A A104956 2 1 1 2 20 2 1 1 4 1 1 2 20 2 1 1 4 1 1 2 20 2 1 1 2 20 2 1 1 4 2 598076211353315940291169512258808551 78657 64593 65922 46345 Mw 23 Constante de Silverman 31 S m displaystyle mathcal S m nbsp n 1 1 ϕ n s 1 n n 1 1 k 1 1 p n 2 k p n k 1 p n p r i m o displaystyle sum n 1 infty frac 1 phi n sigma 1 n underset p n primo prod n 1 infty left 1 sum k 1 infty frac 1 p n 2k p n k 1 right nbsp o Funcion totien de Euler s1 Funcion divisor Sum n 1 to 1 EulerPhi n DivisorSigma 1 n A093827 1 1 3 1 2 5 1 65 11 2 1 2 13 1 4 1 1 1 2 5 4 1 786576459365922463458590475541315751 46099 84862 06318 35815 Mw 24 Constante cuatro colores de Baxter 32 Mapamundi nbsp Coloreado 4C C 2 displaystyle mathcal C 2 nbsp n 1 3 n 1 2 3 n 2 3 n 3 4 p 2 G 1 3 3 displaystyle prod n 1 infty frac 3n 1 2 3n 2 3n frac 3 4 pi 2 Gamma left frac 1 3 right 3 nbsp G Funcion Gamma 3 Gamma 1 3 3 4 pi 2 A224273 1 2 5 1 10 8 1 12 3 1 5 3 5 8 2 1 23 1 2 161 1970 1 460998486206318358158873117846059690 66131 70494 69622 33528 Mw 25 Constante de Feller Tornier 33 C F T displaystyle mathcal C FT nbsp 1 2 n 1 1 2 p n 2 1 2 p n p r i m o 3 p 2 n 1 1 1 p n 2 1 1 2 displaystyle underset p n primo frac 1 2 prod n 1 infty left 1 frac 2 p n 2 right frac 1 2 frac 3 pi 2 prod n 1 infty left 1 frac 1 p n 2 1 right frac 1 2 nbsp prod n 1 to 1 2 prime n 2 2 1 2 T A065493 0 1 1 1 20 9 1 2 5 1 2 3 2 3 38 8 1 16 2 2 1932 0 661317049469622335289765846274118531 92756 19754 82925 30426 Mw 26 Constante Tetranacci T displaystyle mathcal T nbsp La mayor raiz real de x 4 x 3 x 2 x 1 0 displaystyle x 4 x 3 x 2 x 1 0 nbsp Root x x 4 2 0 A A086088 1 1 12 1 4 7 1 21 1 2 1 4 6 1 10 1 2 2 1 7 1 1 927561975482925304261905861736622161 00743 47568 84279 37609 Mw 27 Constante DeVicci s Teseracto nbsp f 3 4 displaystyle f 3 4 nbsp Arista del mayor cubo dentro de un hipercubo unitario 4D La menor raiz real de 4 x 4 28 x 3 7 x 2 16 x 16 0 displaystyle 4x 4 28x 3 7x 2 16x 16 0 nbsp Root 4 x 8 28 x 6 7 x 4 16 x 2 16 0 A A243309 1 134 1 1 73 3 1 5 2 1 6 3 11 4 1 5 5 1 1 48 1 007434756884279376098253595231099140 15915 49430 91895 33576 Mw 28 Constante A de Plouffe 34 A displaystyle A nbsp 1 2 p displaystyle frac 1 2 pi nbsp 1 2 pi T A086201 0 6 3 1 1 7 2 146 3 6 1 1 2 7 5 5 1 4 1 2 42 0 159154943091895335768883763372514360 41245 40336 40107 59778 Mw 29 Constante de Thue Morse 35 nbsp t displaystyle tau nbsp n 0 t n 2 n 1 displaystyle sum n 0 infty frac t n 2 n 1 nbsp donde t n displaystyle t n nbsp es la secuencia Thue Morse y donde t x n 0 1 t n x n n 0 1 x 2 n displaystyle tau x sum n 0 infty 1 t n x n prod n 0 infty 1 x 2 n nbsp T A014571 0 2 2 2 1 4 3 5 2 1 4 2 1 5 44 1 4 1 2 4 1 1 0 412454033640107597783361368258455280 58057 75582 04892 40229 Mw 30 Constante de Pell 36 P P e l l displaystyle mathcal P Pell nbsp 1 n 0 1 1 2 2 n 1 displaystyle 1 prod n 0 infty left 1 frac 1 2 2n 1 right nbsp N 1 prod n 0 to 1 1 2 2n 1 T A141848 0 1 1 2 1 1 1 1 14 1 3 1 1 6 9 18 7 1 27 1 1 0 580577558204892402290043892297025742 20741 60991 62477 96230 Mw 31 Problema moviendo el sofa de Hammersley 37 nbsp S H displaystyle S H nbsp p 2 2 p displaystyle frac pi 2 frac 2 pi nbsp Cual es el area mas grande de una forma que pueda ser maniobrada en un pasillo en forma de L y tenga de ancho la unidad pi 2 2 pi T A086118 2 4 1 4 1 1 2 5 1 11 1 1 5 1 6 1 3 1 1 1 1 7 1967 2 207416099162477962306856745129808891 15470 05383 79251 52901 Mw 32 Constante de Hermite 38 g 2 displaystyle gamma 2 nbsp 2 3 1 cos p 6 displaystyle frac 2 sqrt 3 frac 1 cos frac pi 6 nbsp 2 sqrt 3 A 1 A246724 1 6 2 6 2 6 2 6 2 6 2 6 2 6 2 6 2 6 2 6 2 6 2 1 6 2 1 154700538379251529018297561003914910 63092 97535 71457 43709 Mw 33 Dimension fractal del Conjunto de Cantor 39 nbsp d f k displaystyle d f k nbsp lim e 0 log N e log 1 e log 2 log 3 displaystyle lim varepsilon to 0 frac log N varepsilon log 1 varepsilon frac log 2 log 3 nbsp log 2 log 3 N 3 x 2 T A102525 0 1 1 1 2 2 3 1 5 2 23 2 2 1 1 55 1 4 3 1 1 0 630929753571457437099527114342760850 17150 04931 41536 06586 Mw 34 Constante Hall Montgomery 40 d 0 displaystyle delta 0 nbsp 1 p 2 6 2 L i 2 e L i 2 Integral dilogaritmica displaystyle 1 frac pi 2 6 2 mathrm Li 2 left sqrt e right quad mathrm Li 2 scriptstyle text Integral dilogaritmica nbsp 1 Pi 2 6 2 PolyLog 2 Sqrt E A143301 0 5 1 4 1 10 1 1 11 18 1 2 19 14 1 51 1 2 1 0 171500493141536065860439971555212101 55138 75245 48320 39226 Mw 35 Constante Triangulo Calabi 41 nbsp C C R displaystyle C CR nbsp 1 3 23 3 i 237 1 3 3 2 2 3 11 3 2 23 3 i 237 1 3 displaystyle 1 over 3 23 3i sqrt 237 tfrac 1 3 over 3 cdot 2 tfrac 2 3 11 over 3 2 23 3i sqrt 237 tfrac 1 3 nbsp FindRoot 2x 3 2x 2 3x 2 0 x 1 5 WorkingPrecision gt 40 A A046095 1 1 1 4 2 1 2 1 5 2 1 3 1 1 390 1 1 2 11 6 2 1946 1 551387524548320392261952510264623810 97027 01143 92033 92574 Mw 36 Constante de Lochs 42 L o displaystyle text Lo nbsp 6 ln 2 ln 10 p 2 displaystyle frac 6 ln 2 ln 10 pi 2 nbsp 6 ln 2 ln 10 Pi 2 A086819 0 1 32 1 1 1 2 1 46 7 2 7 10 8 1 71 1 37 1 1 1964 0 970270114392033925740256019210010831 30568 67 Mw 37 Dimension fractal del circulo de Apolonio 43 nbsp e displaystyle varepsilon nbsp A052483 0 3 2 3 16 8 10 3 1 1 2 1 3 1 2 13 1 1 4 1 5 1 3056867 0 00131 76411 54853 17810 Mw 38 Constante de Heath Brown Moroz 44 C H B M displaystyle C HBM nbsp n 1 1 1 p n 7 1 7 p n 1 p n 2 p n p r i m o displaystyle underset p n primo prod n 1 infty left 1 frac 1 p n right 7 left 1 frac 7p n 1 p n 2 right nbsp N prod n 1 to 1 1 prime n 7 1 7 prime n 1 prime n 2 T A118228 0 758 1 13 1 2 3 56 8 1 1 1 1 1 143 1 1 1 2 0 001317641154853178109817352322513580 14758 36176 50433 27417 Mw 39 Constante gamma de Plouffe 45 nbsp C displaystyle C nbsp 1 p arctan 1 2 1 p n 0 1 n 2 2 n 1 2 n 1 displaystyle frac 1 pi arctan frac 1 2 frac 1 pi sum n 0 infty frac 1 n 2 2n 1 2n 1 nbsp 1 p 1 2 1 3 2 3 1 5 2 5 1 7 2 7 displaystyle frac 1 pi left frac 1 2 frac 1 3 cdot 2 3 frac 1 5 cdot 2 5 frac 1 7 cdot 2 7 cdots right nbsp Arctan 1 2 Pi T A086203 0 6 1 3 2 5 1 6 5 3 1 1 2 1 1 2 3 1 2 3 2 2 0 147583617650433274175401076224740520 70523 01717 91800 96514 Mw 40 Constante Primorial Suma de inversos de productos de primos 46 P displaystyle P nbsp n 1 1 p n 1 2 1 6 1 30 1 210 k 1 n 1 k 1 p n p n p r i m o displaystyle underset p n primo sum n 1 infty frac 1 p n frac 1 2 frac 1 6 frac 1 30 frac 1 210 sum k 1 infty prod n 1 k frac 1 p n nbsp Sum k 1 to prod n 1 to k 1 prime n I A064648 0 1 2 2 1 1 4 1 2 1 1 6 13 1 4 1 16 6 1 1 4 0 705230171791800965147431682888248510 29156 09040 30818 78013 Mw 41 Constante dimer 2D recubrimiento con dominos 47 48 nbsp C p displaystyle frac C pi nbsp C Cte Catalan p p cosh 1 cos t 3 2 4 p d t displaystyle int limits pi pi frac cosh 1 left frac sqrt cos t 3 sqrt 2 right 4 pi dt nbsp N int pi to pi arccosh sqrt cos t 3 sqrt 2 4 Pi dt A143233 0 3 2 3 16 8 10 3 1 1 2 1 3 1 2 13 1 1 4 1 5 0 291560904030818780138384456468394910 72364 84022 98200 00940 Mw 42 Constante de Sarnak C s a displaystyle C sa nbsp p gt 2 1 p 2 p 3 displaystyle prod p gt 2 Big 1 frac p 2 p 3 Big nbsp N prod k 2 to 1 prime k 2 prime k 3 T A065476 0 1 2 1 1 1 1 1 1 1 4 4 1 1 1 1 1 1 1 8 2 1 1 0 723648402298200009408849149809127590 63212 05588 28557 67840 Mw 43 Constante de tiempo 49 nbsp t displaystyle tau nbsp lim n 1 n n lim n P n 0 1 e x d x 1 1 e displaystyle lim n to infty 1 frac n n lim n to infty P n int 0 1 e x dx 1 frac 1 e nbsp n 0 1 n n 1 1 1 2 1 3 1 4 1 5 1 6 displaystyle sum limits n 0 infty frac 1 n n frac 1 1 frac 1 2 frac 1 3 frac 1 4 frac 1 5 frac 1 6 cdots nbsp lim n gt 1 n n n subfactorial T A068996 0 1 1 1 2 1 1 4 1 1 6 1 1 8 1 1 10 1 1 12 1 0 1 1 1 2n n ℕ 0 632120558828557678404476229838539130 30366 30028 98732 65859 Mw 44 Constante de Gauss Kuzmin Wirsing 50 l 2 displaystyle lambda 2 nbsp lim n F n x ln 1 x l n PS x displaystyle lim n to infty frac F n x ln 1 x lambda n Psi x nbsp donde PS x displaystyle Psi x nbsp es una funcion analitica tal que PS 0 PS 1 0 displaystyle Psi 0 Psi 1 0 nbsp A038517 0 3 3 2 2 3 13 1 174 1 1 1 2 2 2 1 1 1 2 2 1 1973 0 303663002898732658597448121901556231 30357 72690 34296 39125 Mw 45 Constante de Conway 51 nbsp l displaystyle lambda nbsp x 71 x 69 2 x 68 x 67 2 x 66 2 x 65 x 64 x 63 x 62 x 61 x 60 x 59 2 x 58 5 x 57 3 x 56 2 x 55 10 x 54 3 x 53 2 x 52 6 x 51 6 x 50 x 49 9 x 48 3 x 47 7 x 46 8 x 45 8 x 44 10 x 43 6 x 42 8 x 41 5 x 40 12 x 39 7 x 38 7 x 37 7 x 36 x 35 3 x 34 10 x 33 x 32 6 x 31 2 x 30 10 x 29 3 x 28 2 x 27 9 x 26 3 x 25 14 x 24 8 x 23 7 x 21 9 x 20 3 x 19 4 x 18 10 x 17 7 x 16 12 x 15 7 x 14 2 x 13 12 x 12 4 x 11 2 x 10 5 x 9 x 7 7 x 6 7 x 5 4 x 4 12 x 3 6 x 2 3 x 6 0 displaystyle begin smallmatrix x 71 quad x 69 2x 68 x 67 2x 66 2x 65 x 64 x 63 x 62 x 61 x 60 x 59 2x 58 5x 57 3x 56 2x 55 10x 54 3x 53 2x 52 6x 51 6x 50 x 49 9x 48 3x 47 7x 46 8x 45 8x 44 10x 43 6x 42 8x 41 5x 40 12x 39 7x 38 7x 37 7x 36 x 35 3x 34 10x 33 x 32 6x 31 2x 30 10x 29 3x 28 2x 27 9x 26 3x 25 14x 24 8x 23 quad 7x 21 9x 20 3x 19 4x 18 10x 17 7x 16 12x 15 7x 14 2x 13 12x 12 4x 11 2x 10 5x 9 x 7 quad 7x 6 7x 5 4x 4 12x 3 6x 2 3x 6 0 quad quad quad end smallmatrix nbsp A A014715 1 3 3 2 2 54 5 2 1 16 1 30 1 1 1 2 2 1 14 1 1987 1 303577269034296391257099112152551891 18656 91104 15625 45282 Mw 46 Constante de Levy 52 b displaystyle beta nbsp p 2 12 ln 2 displaystyle frac pi 2 12 ln 2 nbsp pi 2 12 ln 2 A100199 1 5 2 1 3 1 1 28 18 16 3 2 6 2 6 1 1 5 5 9 1935 1 186569110415625452821722975947237120 83564 88482 64721 05333 Constante de Baker 53 nbsp b 3 displaystyle beta 3 nbsp 0 1 d t 1 t 3 n 0 1 n 3 n 1 1 3 ln 2 p 3 displaystyle int 0 1 frac mathrm d t 1 t 3 sum n 0 infty frac 1 n 3n 1 frac 1 3 left ln 2 frac pi sqrt 3 right nbsp Sum n 0 to 1 n 3n 1 A113476 0 1 5 11 1 4 1 6 1 4 1 1 1 2 1 3 2 2 2 2 1 3 0 8356488482647210533371034597001107623 10344 79094 20541 6160 Mw 47 Serie de Kempner 0 54 K 0 displaystyle K 0 nbsp 1 1 2 1 3 1 9 1 11 1 19 1 21 etc displaystyle 1 frac 1 2 frac 1 3 cdots frac 1 9 frac 1 11 cdots frac 1 19 frac 1 21 cdots text etc nbsp 1 99 1 111 1 119 1 121 d e n o m i n a d o r e s q u e c o n t i e n e n c e r o s E x c l u i d o s l o s displaystyle frac 1 99 frac 1 111 cdots frac 1 119 frac 1 121 cdots overset Excluidos los underset contienen ceros scriptstyle denominadores que nbsp 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 1 11 1 12 1 13 1 14 1 15 A082839 23 9 1 2 3244 1 1 5 1 2 2 8 3 1 1 6 1 84 1 23 10344790942054161603405404332559810 98943 12738 31146 95174 Mw 48 Constante de Lebesgue 55 nbsp C 1 displaystyle C 1 nbsp lim n L n 4 p 2 ln 2 n 1 4 p 2 k 1 2 ln k 4 k 2 1 G 1 2 G 1 2 displaystyle lim n to infty left L n frac 4 pi 2 ln 2n 1 right frac 4 pi 2 left sum k 1 infty frac 2 ln k 4k 2 1 frac Gamma tfrac 1 2 Gamma tfrac 1 2 right nbsp 4 pi 2 2 Sum k 1 to ln k 4 k 2 1 poligamma 1 2 A243277 0 1 93 1 1 1 1 1 1 1 7 1 12 2 15 1 2 7 2 1 5 0 989431273831146951741648809018866711 38135 64445 18497 79337 Constante Beta Kneser Mahler 56 b displaystyle beta nbsp e 2 p 0 p 3 t tan t d t e 1 3 1 3 ln 1 e 2 p i t d t displaystyle e textstyle frac 2 pi displaystyle int 0 frac pi 3 textstyle t tan t dt e displaystyle int frac 1 3 frac 1 3 textstyle ln lfloor 1 e 2 pi it rfloor dt nbsp e PolyGamma 1 4 3 PolyGamma 1 2 3 9 4 sqrt 3 Pi A242710 1 2 1 1 1 1 1 4 1 139 2 1 3 5 16 2 1 1 7 2 1 1963 1 381356444518497793371466956850624121 18745 23511 26501 05459 Mw 49 Constante de Foias a 57 F a displaystyle F alpha nbsp x n 1 1 1 x n n para n 1 2 3 displaystyle x n 1 left 1 frac 1 x n right n text para n 1 2 3 ldots nbsp La constante de Foias es el unico numero real tal que si x1 a entonces la secuencia diverge a Cuando x1 a lim n x n log n n 1 displaystyle lim n to infty x n tfrac log n n 1 nbsp A085848 1 5 2 1 81 3 2 2 1 1 1 1 1 6 1 1 3 1 1 4 3 2 1970 1 187452351126501054595480158396519352 29316 62874 11861 03150 Mw 50 Constante de Foias b nbsp F b displaystyle F beta nbsp x x 1 x 1 x displaystyle x x 1 x 1 x nbsp x x 1 x 1 x A085846 2 3 2 2 3 4 2 3 2 130 1 1 1 1 1 6 3 2 1 15 1 2000 2 293166287411861031508028291250805860 66170 71822 67176 23515 Mw 51 Constante de Robbins 58 D 3 displaystyle Delta 3 nbsp 4 17 2 6 3 7 p 105 ln 1 2 5 2 ln 2 3 5 displaystyle frac 4 17 sqrt 2 6 sqrt 3 7 pi 105 frac ln 1 sqrt 2 5 frac 2 ln 2 sqrt 3 5 nbsp 4 17 2 1 2 6 3 1 2 21 ln 1 2 1 2 42 ln 2 3 1 2 7 Pi 105 A073012 0 1 1 1 21 1 2 1 4 10 1 2 2 1 3 11 1 331 1 4 1978 0 661707182267176235155831133248413580 78853 05659 11508 96106 Mw 52 Constante de Luroth 59 nbsp C L displaystyle C L nbsp n 2 ln n n 1 n displaystyle sum n 2 infty frac ln left frac n n 1 right n nbsp Sum n 2 to log n n 1 n A085361 0 1 3 1 2 1 2 4 1 127 1 2 2 1 3 8 1 1 2 1 16 0 788530565911508961060276322169444320 92883 58271 Mw 53 Constante entre primos gemelos de JJGJJG 60 B 1 displaystyle B 1 nbsp 1 4 1 6 1 12 1 18 1 30 1 42 1 60 1 72 displaystyle frac 1 4 frac 1 6 frac 1 12 frac 1 18 frac 1 30 frac 1 42 frac 1 60 frac 1 72 cdots nbsp 1 4 1 6 1 12 1 18 1 30 1 42 1 60 1 72 A241560 0 1 13 19 4 2 3 1 1 2014 0 9288358271315 24411 51085 84239 62092 Mw 54 Constante 2 Lemniscata 61 nbsp 2 ϖ displaystyle 2 varpi nbsp G 1 4 2 2 p 4 0 1 d x 1 x 2 2 x 2 displaystyle frac Gamma tfrac 1 4 2 sqrt 2 pi 4 int 0 1 frac dx sqrt 1 x 2 2 x 2 nbsp Gamma 1 4 2 Sqrt 2 Pi A064853 5 4 10 2 1 2 3 29 4 1 2 1 2 1 2 1 4 9 1 4 1 2 1718 5 244115108584239620929679179782238830 57595 99688 92945 43964 Mw 55 Constante Stephens 62 C S displaystyle C S nbsp n 1 1 p p 3 1 displaystyle prod n 1 infty left 1 frac p p 3 1 right nbsp Prod n 1 to 1 prime n prime n 3 1 T A065478 0 1 1 2 1 3 1 3 1 2 1 77 2 1 1 10 2 1 1 1 7 0 575959968892945439643163375492496690 73908 51332 15160 64165 Mw 56 Numero de Dottie 63 nbsp d displaystyle d nbsp lim x cos x c cos cos cos cos cos c x displaystyle lim x to infty cos x c underbrace cos cos cos cos cdots cos c x nbsp cos c c T A003957 0 1 2 1 4 1 40 1 9 4 2 1 15 2 12 1 21 1 17 0 739085133215160641655312087673873400 67823 44919 17391 97803 Mw 57 Constante Taniguchi 64 C T displaystyle C T nbsp n 1 1 3 p n 3 2 p n 4 1 p n 5 1 p n 6 displaystyle prod n 1 infty left 1 frac 3 p n 3 frac 2 p n 4 frac 1 p n 5 frac 1 p n 6 right nbsp p n primo displaystyle scriptstyle p n text primo nbsp Prod n 1 to 1 3 prime n 3 2 prime n 4 1 prime n 5 1 prime n 6 T A175639 0 1 2 9 3 1 2 9 11 1 13 2 15 1 1 1 2 4 1 1 1 0 678234491917391978035538279482894811 35845 62741 82988 43520 Mw 58 Constante espiral aurea nbsp c displaystyle c nbsp f 2 p 1 5 2 2 p displaystyle varphi frac 2 pi left frac 1 sqrt 5 2 right frac 2 pi nbsp GoldenRatio 2 Pi A212224 1 2 1 3 1 3 10 8 1 1 8 1 15 6 1 3 1 1 2 3 1 1 1 358456274182988435206180600501879452 79128 78474 77920 00329 Raices anidadas S5 S 5 displaystyle S 5 nbsp 21 1 2 5 5 5 5 5 displaystyle displaystyle frac sqrt 21 1 2 scriptstyle sqrt 5 sqrt 5 sqrt 5 sqrt 5 sqrt 5 cdots nbsp 1 5 5 5 5 5 displaystyle 1 scriptstyle sqrt 5 sqrt 5 sqrt 5 sqrt 5 sqrt 5 cdots nbsp sqrt 21 1 2 A A222134 2 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 2 1 3 2 791287847477920003294023596864004241 85407 46773 01371 91843 Mw 59 Constante Lemniscata de Gauss 65 nbsp L 2 displaystyle L text sqrt 2 nbsp 0 d x 1 x 4 1 4 p G 1 4 2 4 1 4 2 p displaystyle int limits 0 infty frac mathrm d x sqrt 1 x 4 frac 1 4 sqrt pi Gamma left frac 1 4 right 2 frac 4 left frac 1 4 right 2 sqrt pi nbsp G Funcion Gamma pi 3 2 2 Gamma 3 4 2 A093341 1 1 5 1 5 1 3 1 6 2 1 4 16 3 112 2 1 1 18 1 1 854074677301371918433850347195260051 75874 36279 51184 82469 Constante Producto infinito con Alladi Grinstead 66 P r 1 displaystyle Pr 1 nbsp n 2 1 1 n 1 n displaystyle prod n 2 infty Big 1 frac 1 n Big frac 1 n nbsp Prod n 2 to 1 1 n 1 n A242623 1 1 3 6 1 8 1 4 3 1 4 1 1 1 6 5 2 40 1 387 2 1977 1 758743627951184824699896848655893171 73245 47146 00633 47358 Ow 5 Constante inversa de Euler Mascheroni 1 g displaystyle frac 1 gamma nbsp 0 1 log log 1 x d x 1 n 1 1 n 1 g n displaystyle left int 0 1 log left log frac 1 x right dx right 1 sum n 1 infty 1 n 1 gamma n nbsp 1 Integrate x 0 to 1 log log 1 x A098907 1 1 2 1 2 1 4 3 13 5 1 1 8 1 2 4 1 1 40 1 11 1 732454714600633473583025315860829681 94359 64368 20759 20505 Mw 60 Constante Euler Totient 67 68 nbsp E T displaystyle ET nbsp p 1 1 p p 1 p Nros primos z 2 z 3 z 6 315 z 3 2 p 4 displaystyle underset p text Nros primos prod p Big 1 frac 1 p p 1 Big frac zeta 2 zeta 3 zeta 6 frac 315 zeta 3 2 pi 4 nbsp zeta 2 zeta 3 zeta 6 A082695 1 1 16 1 2 1 2 3 1 1 3 2 1 8 1 1 1 1 1 1 1 32 1750 1 943596436820759205057070362574763431 49534 87812 21220 54191 Raiz cuarta de cinco 69 5 4 displaystyle sqrt 4 5 nbsp 5 5 5 5 5 5 5 5 5 5 displaystyle sqrt 5 5 sqrt 5 5 sqrt 5 5 sqrt 5 5 sqrt 5 5 cdots nbsp 5 5 5 5 5 5 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 A A011003 1 2 53 4 96 2 1 6 2 2 2 6 1 4 1 49 17 2 3 2 1 495348781221220541911898994140913390 87228 40410 65627 97617 Mw 61 Area Circulo de Ford 70 nbsp A C F displaystyle A CF nbsp q 1 p q 1 1 p lt q p 1 2 q 2 2 p 4 z 3 z 4 45 2 z 3 p 3 displaystyle sum q geq 1 sum p q 1 atop 1 leq p lt q pi left frac 1 2q 2 right 2 frac pi 4 frac zeta 3 zeta 4 frac 45 2 frac zeta 3 pi 3 nbsp s Funcion zeta pi Zeta 3 4 Zeta 4 0 1 6 1 4 1 7 5 36 3 29 1 1 10 3 2 8 1 1 1 3 0 872284041065627976175197532171225871 08232 32337 11138 19151 Mw 62 Constante Zeta 4 71 z 4 displaystyle zeta 4 nbsp p 4 90 n 1 1 n 4 1 1 4 1 2 4 1 3 4 1 4 4 1 5 4 displaystyle frac pi 4 90 sum n 1 infty frac 1 n 4 frac 1 1 4 frac 1 2 4 frac 1 3 4 frac 1 4 4 frac 1 5 4 nbsp Sum n 1 to 1 n 4 T A013662 1 12 6 1 3 1 4 183 1 1 2 1 3 1 1 5 4 2 7 1 082323233711138191516003696541167901 56155 28128 08830 27491 Raiz Triangular de 2 72 nbsp R 2 displaystyle R 2 nbsp 17 1 2 4 4 4 4 4 4 1 displaystyle frac sqrt 17 1 2 scriptstyle sqrt 4 sqrt 4 sqrt 4 sqrt 4 sqrt 4 sqrt 4 cdots 1 nbsp 4 4 4 4 4 4 displaystyle scriptstyle sqrt 4 sqrt 4 sqrt 4 sqrt 4 sqrt 4 sqrt 4 cdots textstyle nbsp sqrt 17 1 2 A A222133 1 1 1 3 1 1 3 1 1 3 1 1 3 1 1 3 1 1 3 1 1 3 1 1 1 1 3 1 561552812808830274910704927987038511 45607 49485 82689 67139 Mw 63 Constante de Backhouse 73 B displaystyle B nbsp lim k q k 1 q k donde Q x 1 P x k 1 q k x k displaystyle lim k to infty left frac q k 1 q k right vert quad scriptstyle text donde displaystyle Q x frac 1 P x sum k 1 infty q k x k nbsp P x k 1 p k x k p k p r i m o 1 2 x 3 x 2 5 x 3 7 x 4 displaystyle P x sum k 1 infty underset p k primo p k x k 1 2x 3x 2 5x 3 7x 4 nbsp 1 FindRoot 0 1 Sum x n Prime n n 10000 x 1 A072508 1 2 5 5 4 1 1 18 1 1 1 1 1 2 13 3 1 2 4 16 4 1995 1 456074948582689671399595351116543551 43599 11241 76917 43235 Mw 64 Constante interpolacion de Lebesgue 74 75 nbsp L 1 displaystyle L 1 nbsp i 0 j i n x x i x j x i 1 p 0 p sin 3 t 2 sin t 2 d t 1 3 2 3 p displaystyle prod begin smallmatrix i 0 j neq i end smallmatrix n frac x x i x j x i frac 1 pi int 0 pi frac lfloor sin frac 3t 2 rfloor sin frac t 2 dt frac 1 3 frac 2 sqrt 3 pi nbsp 1 3 2 sqrt 3 Pi T A226654 1 2 3 2 2 6 1 1 1 1 4 1 7 1 1 1 2 1 3 1 2 1 1 1902 1 435991124176917432355986329959272211 04633 50667 70503 18098 Constante mass Minkowski Siegel 76 F 1 displaystyle F 1 nbsp n 1 n 2 p n n e n 1 1 n 12 displaystyle prod n 1 infty frac n sqrt 2 pi n left frac n e right n sqrt 12 1 tfrac 1 n nbsp N prod n 1 to n sqrt 2 Pi n n e n 1 1 n 1 12 A213080 1 21 1 1 2 1 1 4 2 1 5 7 2 1 20 1 1 1134 3 1867 1885 1935 1 046335066770503180980950656977760371 86002 50792 21190 30718 Constante espiral de Theodorus 77 nbsp displaystyle partial nbsp n 1 1 n 3 n n 1 1 n n 1 displaystyle sum n 1 infty frac 1 sqrt n 3 sqrt n sum n 1 infty frac 1 sqrt n n 1 nbsp Sum n 1 to 1 n 3 2 n 1 2 A226317 1 1 6 6 1 15 11 5 1 1 1 1 5 3 3 3 2 1 1 2 19 460 a 399 1 860025079221190307180695915717143320 80939 40205 40639 13071 Mw 65 Constante de Alladi Grinstead 78 A A G displaystyle mathcal A AG nbsp e 1 k 2 n 1 1 n k n 1 e 1 k 2 1 k ln 1 1 k displaystyle e 1 sum limits k 2 infty sum limits n 1 infty frac 1 nk n 1 e 1 sum limits k 2 infty frac 1 k ln left 1 frac 1 k right nbsp e sum k 2 to sum n 1 to 1 n k n 1 1 A085291 0 1 4 4 17 4 3 2 5 3 1 1 1 1 6 1 1 2 1 22 1977 0 809394020540639130717931880594091311 26185 95071 42914 87419 Mw 66 Dimension fractal del Copo de nieve de Koch 79 source source source source source source C k displaystyle C k nbsp log 4 log 3 displaystyle frac log 4 log 3 nbsp log 4 log 3 T A100831 1 3 1 4 1 1 11 1 46 1 5 112 1 1 1 1 1 3 1 7 1 261859507142914874199054228685521711 22674 20107 20353 24441 Mw 67 Constante Factorial de Fibonacci 80 F displaystyle F nbsp n 1 1 1 f 2 n n 1 1 5 3 2 n displaystyle prod n 1 infty left 1 left frac 1 varphi 2 right n right prod n 1 infty left 1 left frac sqrt 5 3 2 right n right nbsp prod n 1 to 1 sqrt 5 3 2 n A062073 1 4 2 2 3 2 15 9 1 2 1 2 15 7 6 21 3 5 1 23 1 226742010720353244417630230455361650 85073 61882 01867 26036 Mw 68 Constante de plegado de papel 81 82 nbsp P f displaystyle P f nbsp n 0 8 2 n 2 2 n 2 1 n 0 1 2 2 n 1 1 2 2 n 2 displaystyle sum n 0 infty frac 8 2 n 2 2 n 2 1 sum n 0 infty cfrac tfrac 1 2 2 n 1 tfrac 1 2 2 n 2 nbsp N Sum n 0 to 8 2 n 2 2 n 2 1 37 A143347 0 1 5 1 2 3 21 1 4 107 7 5 2 1 2 1 1 2 1 6 0 850736188201867260367797760532066606 58088 59910 17920 97085 Constante de Froda 83 2 e displaystyle 2 e nbsp 2 e displaystyle 2 e nbsp 2 e 6 1 1 2 1 1 2 3 1 14 11 4 3 1 1 7 5 5 2 7 6 58088599101792097085154240388648649 0 5 0 86602 54037 84438 64676 i Raiz cubica de 1 84 nbsp 1 3 displaystyle sqrt 3 1 nbsp 1 1 2 3 2 i 1 2 3 2 i displaystyle begin cases 1 frac 1 2 frac sqrt 3 2 i frac 1 2 frac sqrt 3 2 i end cases nbsp 1 E 2i pi 3 E 2i pi 3 CA A010527 0 5 0 1 6 2 6 2 6 2 6 2 6 2 6 2 6 2 6 2 6 2 i 0 5 0 1 6 2 i 0 5 0 8660254037844386467637231707529 i1 11786 41511 89944 97314 Mw 69 Constante de Goh Schmutz 85 C G S displaystyle C GS nbsp 0 log s 1 e s 1 d s n 1 e n n E i n I n t e g r a l E x p o n e n c i a l E i displaystyle int 0 infty frac log s 1 e s 1 ds sum n 1 infty frac e n n Ei n overset Ei underset Exponencial scriptstyle Integral nbsp Integrate log s 1 E s 1 A143300 1 8 2 15 2 7 2 1 1 1 1 2 3 5 3 5 1 1 4 13 1 1 117864151189944973140409962026565441 11072 07345 39591 56175 Mw 70 Razon entre un cuadrado y la circunferencia circunscrita 86 nbsp p 2 2 displaystyle frac pi 2 sqrt 2 nbsp n 1 1 n 1 2 2 n 1 1 1 1 3 1 5 1 7 1 9 1 11 displaystyle sum n 1 infty frac 1 lfloor frac n 1 2 rfloor 2n 1 frac 1 1 frac 1 3 frac 1 5 frac 1 7 frac 1 9 frac 1 11 nbsp Sum n 1 to 1 floor n 1 2 2n 1 T A093954 1 9 31 1 1 17 2 3 3 2 3 1 1 2 2 1 4 9 1 3 1 110720734539591561753970247515173422 82641 99970 67591 57554 Mw 71 Constante de Murata 87 C m displaystyle C m span, wikipedia, wiki, leyendo, leer, libro, biblioteca, español , española, descargar, gratis, descargar gratis, mp3, video, mp4, 3gp, jpg, jpeg, gif, png, imagen, música, canción, película, libro, juego, juegos © Derechos de autor 2021, Todos los derechos reservados  |   www.wiki3.es-es.nina.az Rss Feed SiteMap Ping DMCA Contacta con nosotros Página 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